The last stop on Route 66 in Texas is Glenrio, TX..Glenrio in TX & NM, is a ghost town that straddles the Texas - New Mexico state line; its Main Street is a Historic District along U.S. Highway Route 66 listed on the National Register of Historic Places. Little Juarez Diner On the north side of US 66, next to the Texaco service station. Another empty building along the mother road, dusty, silent, remembering better days. It was a diner: Brownlee Diner ⁄ Little Juarez Café (1952).