There's issues with your plan. Weather it's a problem for you two or not, is not my call though. Only you two can decide.
For starters, have you figured in the capital gains tax exclusion? If your daughter has lived in the house for at least the last two years she owned it, then when it's sold she is exempt from paying taxes on the first $250,000 of gain. If she does a quit claim to you, that exclusion possibility goes away.
