Child Abandonment

My 15 year old has 6 month by a 17 year old,who hasn't seen him since he was 2 months old,she found out he was on drugs and head he's in a rehab
Can she gave his parental rights revoked & the baby's last name changed to hers?

Child Abandonment

Child abandonment

When can we classify it abandonment? Should there be a specific time, months after the father left his child?

Child abandonment