Tennessee HB554 Child Custody and Support - As enacted, eliminates the rights of custody, visitation, and inheritance for persons convicted of aggravated rape, rape, or rape of a child from which crime the child was conceived; permits the child's other parent to request reasonable visitation with the convicted parent; requires a court to establish a child support obligation for the convicted parent. - Amends TCA Title 36 and Title 39, Chapter 13, Part 5.