Hello again and thank you for clarifying the situation for me.
Parental rights are never automatically terminated. However, if a parent shows no interest in a child for an extended period of time and does not support the child, their parental rights can be terminated by court order.
Here is a link to the TX code setting on the grounds on which parental rights may be involuntarily terminated:
Courts will often deny such a petition though if the non-custodial parent
can support the child, but grant sole custody
or possession to the parent who has cared for the child. This is often the finding which courts determine is in the best interests of the child--denying visitation to the parent who abandons the child, but ordering them to pay support.
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