HOUSTON — A River Oaks mansion once belonging to former Texas Gov. John Connally was the most expensive Houston-area home sold the week of July 13, according to the Houston Association of Realtors.

A little Texas history is woven into this month’s most expensive homes list, which features a River Oaks mansion where Texas Gov. John B. Connally once lived. Connally, who led the state in the 1960s, ...