Grandparent Rights in Texas Grandparent rights generally refer to the rights related to visitation and, in some circumstances, custody of a grandchild. A grandparent can sue for custody under some circumstances. It’s important to understand, however, that in Texas grandparents do not have an absolute right to visitation. Generally, a parent has superior rights to decide who has access to their child and when. However, a court can order grandparent visitation if it is in the child’s best...