Grandparent Visitation Rights
Grandparents can request orders for "access" to the grandchildren. Basically, that means asking the judge to establish a schedule of times that the parents are to recognize as being grandparent time only.
Recent decisions in other states and Texas have weakened the status of grandparents seeking custody of grandchildren. Those decisions have, to some degree, also diminished the status of grandparents desiring access periods.
Also See AARP Grandparent Information Center