I have filed my tax returns and they were accepted. I wanted to take one of my children off so that my child's other parent can file them. Is that possible?

The only way to do this is to amend your return.  The other parent will have to paper file her return to claim the child since you have already claimed him.

 

If you filed, it is like dropping it into a mailbox - you cannot get it back.

You'll have wait until your return is either accepted or rejected.

 

• If rejected, you can make any necessary changes.
• If accepted, you'll need to amend your return. 
• To avoid unnecessary delays, do not amend until your original return has been fully processed.  You will need to print and mail the amendment.  
• Allow 8-12 weeks for processing.

See this TurboTax FAQ for help with amending.

You can check the status of your amended return here, but allow 3 weeks after filing for it to show up.