That's River's cradle, not the Doctors.
From the Wiki:
"River appears, and the Doctor berates her for not helping. She tries to explain that she could not, and tells the Doctor how these recent events were brought about by those that feared the Doctor. The Doctor, angry and emotional, demands to know who she is. River shows the Doctor the cot, and The Doctor recognises River's identity. Elated, he goes off on his own in the TARDIS to rescue Melody, asking River to return everyone to their proper time stream. Amy demands that River explain what the Doctor learned, and she shows them the cot. Initially Amy believes River is referring to the Gallifreyan symbols engraved on it, but they cannot be read by humans even with the aid of the TARDIS translation systems. Instead River shows them Bucket's cloth charm with Melody's name still in the cot. As the Gamma forest people do not have a word for "pond" or "melody", Bucket used the closest approximations: "river" and "song". River Song re-introduces herself to Amy and Rory as their daughter."
"In mid-series finale "A Good Man Goes to War", Amy gives birth to Melody Pond, who is subsequently kidnapped by Madame Kovarian (Frances Barber) to become a weapon to use against the Doctor. Having been conceived on Rory and Amy's wedding night in the TARDIS whilst travelling through the time vortex, Melody's DNA was affected, giving her Time Lord traits. Multiple characters, including the Doctor, note that this origin resembles those of the primitive Gallifreyans. After Melody is kidnapped, the adult River appears and reveals to Amy and Rory that she is Melody; in the language of the Gamma Forest, the closest translation of "Melody Pond" is "River Song"."
She is Not his mother, or she would not have given him such an obviously sexual kiss in "Day of the Moon"
edited 7th Jun '11 10:22:29 PM by justaperson