Translation for those reading:
Ok, my daughter's Dad wants custody of our child.
He has seen her 4 times in 2 years.
He tried to kidnap her on 2 occassions.
He called CPS to come investigate me twice.
She cries everytime she sees him.
Can he take her from me?
He took her to the hospital everytime she was with him to make it look as though I was not caring for her properly.
He stole her change of clothes that I sent with her to his house in case of accidents.
OK?
The answer is, if he files a motion to gain full custody and the court agrees that he is a more fit parent then you, then YES he CAN take her from you.
If you already HAVE a legal agreement where you both SHARE custody, legally speaking, no, he cannot just 'take her'. If this happens, you DO have the right to call the police, if he breaches your legal arrangement.
If you do NOT have a legal arrangement, then as the child's father, he can do pretty much whatever he sees fit, same as you.
http://www.aboutthechildren.org/index.html
http://www.co.galveston.tx.us/306th/default.htm
There are numbers and contacts you can try for help from one of these sites.
I hope you'll keep in mind what's truly the best life for your child.
Good Luck.
:)