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Sounds like Nikki: https://en.wikipedia.org/wiki/Nikki_(TV_series)
Googled "sitcom wife weather girl husband pro wrestler" to find the title, and additional Googling revealed that the husband's wrestling name was indeed "The Crybaby." http://www.therichest.com/sports/wrestling/15-ridiculous-sitcoms-that-dedicated-full-episodes-to-wrestling/
Thanks! I was thinking that the wife's name was Nikki but didn't realize that was the name of the show.
I think I saw this show while flipping channels in the late 90's or early 2000's. All I remember is that a kind of ditzy female character wanted to get a job as a TV weather girl, and her husband made fun of her. She retorted that it was no more ridiculous than him being a wrestler called "The Big Baby" whose signature move was the "Poopy Diaper Dance." He insisted that it was the "Poopy Diaper Dance OF DEATH!" Any idea what show this was? I don't think it was one that had a very long run.