Dobbs House Luau was a chain of Polynesian restaurants throughout the south. This location opened in 1959 and lasted at least through 1964, but maybe not much longer. By 1971, it had been sold to Albert Gee and became the Poly-Asian West. (The addresses of the two locations are different: Dobbs House Luau was listed at 5200 Westheimer vs. Poly-Asian West at 5138 Westheimer. Either the address of the building changed, or they were actually two different places.)
Other Dobbs House Luau locations were in Atlanta, Memphis, Birmingham, Charlotte, Dallas, Miami, Orlando, Lexington, and Louisville.