Georgia, Ohio Custody and Law's?

Here is the situation. Filed for Divorce in Ohio (legal state for both, with 1 child female 3 year old). He is in Army is currently in georgia, she is still in Ohio. She wont pay her lawyer so he stopped working on divorce. She sent child to live with father/visit father, send with grandparents. Child is now resident in Georgia (she is on his orders but so is mother- (he is in Army) . Mother wants daughter back. Father tells mother meet me half way. SHe says No. IF he does not take child back, and she does not want to come get child. WHat happens? Can she file some sort of something. Child is living with father now that is in Army so she is a legal resident of Gerogia. Does father HAVE to take child back? WHat happens if he does not since she is on his orders?