If your case is currently open, then yes, CPS could remove your child from the hospital under certain circumstances. If your case is closed, then CPS would have to receive a referral that required them to remove. Just because your rights have been terminated in the past doesn't mean CPS can just take any child you give birth to thereafter. You are, however, more at risk of losing any children you have later if any new cases are opened against you. Your past is always a factor in CPS cases. Best of luck to you.