This trope proves to be a godsend for Yuusaku Godai, the male lead of Maison Ikkoku. The young man manages to graduate from college as a teacher trained in early childhood education and hoping to work in a elementary school, until he's laid off and the only work he can find is a strip joint. After a humiliating period as a street barker, things turn around when one of the dancers, a single mother who couldn't afford daycare, is forced to bring her toddler kids to work. In this situation Godai is ordered to take care of the child safely out of sight in the back, and does so well that the other dancers, predominately single mothers themselves, ask him to take care of their little kids. Pretty soon, Godai is running an excellent daycare centre at the strip joint and is deeply valued by the rest of the staff.
Mako Nakarai's mother Miho in Bokurano is this. Unusually, she was a prostitute before she had her daughter and switched to "merely" being a bar hostess, but genuinely loves Mako. And said daughter, despite the bullying she gets from her classmates, loves her mother back as well. In both manga and anime, Mako's Famous Last Words before Zearth saps her of her life energy are about how much she loves and thanks her mother.
Watchmen: In the flashbacks, Rorschach's mother is a single mom prostitute. Perhaps an Inverted Trope, in that she hates him because he inadvertently drives away business. The woman living in the next apartment from him in the present is also a prostitute, but successfully keeps her secret from her children. Rorschach doesn't kill her because her children are present.
And also because her efforts to hide what she does from them indicate that, unlike his own mother, the landlady cares enough about her children to protect them from the ugliness of her life.
Despite she had been a prostitute long before the birth of her son Pepito, Clara (or Betty, for the english speakers) from Clara... de Noche (aka Betty by Night or Betty by the hour) claims, along the motives she's still an hooker, having to support his son and grant him a decent lifestyle.
Films — Live-Action
Dangerous Beauty was about a 16th century woman who becomes a courtesan to support herself and her mother.
Jasmine from Independence Day. Unlike most examples however, she enjoys the work and does it by choice, being in a long-term relationship with a well-to-do Marine Corps aviator, and the film deserves credit for not making her any less sympathetic.
Jessica Biel in Powder Blue, playing it so earnestly straight.
In Sands of Iwo Jima, Sgt. Stryker (John Wayne) is disgusted by the prostitute he meets - until he finds out that she has a baby. (It's implied she's in the business to support her son.) Stryker dandles the boy for a while, gives the woman money, and leaves.
Central to the premise of Striptease, both the Carl Hiaasen book and the movie.
In The Dark Hunters and its spin-off Chronicles of Nick, Cherise Gautier (Nick's mother) had him at fifteen and works as a Bourbon St stripper, but is supposed to be just about the sweetest human being you could ever meet... until she's murdered and left for Nick to find. Doubles as a Berserk Button for Nick in the spin-off he gets into fights to protect her honor and part of the reason he is bullied is that he doesn't complain about the dorky shirts she makes him wear.
Tiffy in The Unit worked at a Bikini Bar after separating from her husband. Unable to find a regular job due to a DUI conviction (she'd taken the rap for the Colonel's wife), she does state it's also about keeping her daughters in horse-riding lessons. The bar was shut down after a fire led to the police finding drugs.
Cassie on Guiding Light; did this to try to make enough money to get her daughter out of foster care. Cassie was later so Anvilicious about treating her past as an Old Shame you'd think she'd been a prostitute dealing cocaine to school children.
Frederico in Six Feet Under had an affair with a stripper who was a single mom. He didn't really have that much sex with her, as much as he just bought her lots of nice things she never asked for in the first place.
Starsky & Hutch: One of these is Starsky's love interest of the week in "The Las Vegas Strangler". Surprisingly, she makes it out of the episode alive.
And in Rossi's It's Personal case, the eldest of the orphans work as a stripper to help her siblings.
In the French version of Big Brother, it was revealed in the first season that one of the candidates, Loana, had such a background. She ended up winner of that season.
In season 3 of Downton Abbey, Isobel Crawley discovers that Ethel Parks has become a prostitute after having had an illegitimate son in the previous season. Truth in Television as this was common among disgraced unwed mothers at the time.
The Kenny Chesney song "Dancin' for the Groceries" tells of a desperate single mother who resorts to stripping in order to make ends meet.
The subject of the Funkadelic song "Cosmic Slop".
What Would You Do?, the song that's used as the page quote
Savaged mercilessly in Bloodhound Gang's "A Lap Dance Is So Much Better When the Stripper is Crying"
"I have to admit it was even more of a turn-on
when I found out she was doin' me to buy baby formula."
Cher's "Gypsies, Tramps, and Thieves" is about the daughter of a tent show dancer (not a single mom; papa's a tent-preacher or snake-oil seller and would have protected his daughter if he'd known what was going on, and helps support his grandkid) who becomes a Single Mom dancer herself. Stripping may or may not be involved.
The Decemberists' "A Cautionary Tale" is about a mother who makes the rounds through the local sailors late at night to support her children, and advises said children to be grateful and eat the "collard greens" she bought with the money.
Madonna was one of these in one of her videos; at first, the little boy trying to get in to see her was sort of weird, before you realize it's her son.
Wait a minute. Her son was trying to watch her perform in a peep show in the "Open Your Heart" video? No, not weird at all. Actually, The Other Wiki offers that it was just a boy wandering through the area who gained entrance into the strip club and prompted her to escape from her life as a stripper.
Seems like the kid was just impatient to see his mother at the end of the day. Since they literally dance off into the night together, it's reasonable to imagine that family time is appreciated after the days she has.
The best evidence in favor is probably that the boy doesn't seem to be trying to sneak in to watch at all, but is actually waiting (what seems to be quite a long time) for her to come out so they can leave together.
In Juvenile's video for "Rodeo", the camera goes "behind the scenes" at a strip club. The dancers are all sympathetic, facing such issues as overdue bills, jealous boyfriends, schoolwork, breakups, crass treatment from patrons, and all that, but The Show Must Go On. One of the dancers has a baby with her backstage.
Fantine in Les MisÚrables turns to prostitution in order to raise money for her daughter, Cosette.
Danika, a minor character from Dominic Deegan. The "single Mom" part actually saves her life, because after Celesto gruesomely murders her client he decides to spare her upon realizing she only has that job to support her daughter.
Parodied on American Dad!, where Steve distracts some strippers by telling them their kid has gotten into their stash. Naturally, every one of them runs off.
On Family Guy, Peter and his friends are trailing Lois to find out why she's acting suspicious, and Quagmire says "Maybe she's a prostitute! But only on the weekends, to pay for her mom's kidney dialysis... like in my fantasy... <awkward pause> You know, let's start again. Hi, I'm Quagmire!"
Mrs. Muntz, Nelson's mother, from The Simpsons, although she isn't very attractive. One episode featured Nelson's father returning, but he hasn't been mentioned since then and it is implied that the family still consists of Nelson and his mother.
Another episode had his mom getting cast as Lady Macbeth: "I don't have to take off my top... but I do anyway!"
The couch gag for "Beware My Cheating Bart" had a couch play the role of a single mom stripper.
T-Shirt Hell, purveyor of offensive cotton outerwear, feature a shirt that says "I Support Single Moms" alongside a silhouette rather reminiscent of mudflap girls but dancing around a pole (pictured above).