Mount Taylor Motel, east of Grants, New Mexico, at Cubero on Route 66. April 2005. The Mt. Taylor Motel dates from the period 1945-1950. As this town is listed in Jack Rittenhouse's, A Guide Book to Highway 66, this places the motel and Cubero on Route 66 in 1946. It is likely that this alignment dates to 1937, and was changed, bypassing Cubero and other small towns in the late 1940s or 1950s.