Originally opened in summer of 1971 as Westover Square, the 484 unit apartment (although some articles mentioned closer to 459 as early as the mid-1980s) featured all the amenities found in first-class adult oriented apartment complexes in the Houston area, including multiple swimming pools, a private clubhouse, and volleyball courts. Additionally, it featured wood-burning fireplaces and washer/dryer connections inside individual apartments. A 1976 ad even mentioned "luxurious shag carpets" as a feature.
In the late 1970s, it was bought by Oakwood Garden apartments, and renamed as "Oakwood Garden Apartments / Westover Square". Oakwood Garden, originally one apartment complex, had three other complexes during this time: it included Oakwood Garden /Houston-Voss at 2424 South Voss Road (now The Park at Voss Apartments), Oakwood Garden/Westheimer at 6263 Westheimer Road (now Siena on Westheimer Apartment Homes), and Oakwood Garden/Woodlake at 9545 Ella Lee Lane (now The Park at Woodlake). But by 1985, the apartments were also now month-to-month with no lease required.
By the late 1980s, the apartment complex had fallen into decline and in November 1988 the apartment complex was finally shut down by the city due to fire code violations. In 1989, Finger Cos. began to renovate the apartments, including adding microwaves to rooms (an article mentioned tearing down units for green space, but it does not look like any apartments were torn down).
The Westover Square name returned but by summer 1997, the apartments were simply going as "7979 Westheimer Apartments".
Source: Houston Chronicle ads and articles