"Make Me Your Baby" is a song written by Helen Miller and Roger Atkins which was a hit for Barbara Lewis in 1965.The demo for "Make Me Your Baby" was cut by journeyman session singer Jean Thomas on 22 January 1965 at the behest of Atlantic Records president Jerry Wexler, who wanted to offer the song to Patti LaBelle and the Bluebelles, then a Cameo-Parkway act Wexler was hoping to woo over to Atlantic.