I left two broodies with one baby each awhile back. One mother (coincidentally my Dusty, whose current set of chicks are hatching right now) decided she didn't want that one, either. The other broody didn't want Dusty's lone baby so had to figure out what to do with it. The first time Glenda hatched babies, I sold them at a week old and she looked for them for months. It was so sad! This time, I'm letting her keep them awhile, though two of them are actually spoken for even now. May just keep the other two, provided they aren't cockerels.
Right now, Shadow has her chick, Fern, who is going on seven weeks old now. She still mothers her and doesn't seem to miss the two Orp babies she had that I sold, though, she does keep calling when I give her and Fern something, like she expects them to come back anytime.