I remember with pleasure the mahi-mahi sandwiches in Hawai'i, the fish in a bun with lettuce, etc, and served with french fries (chips). A place in Hilo had the best, but others were almost as good.
I have lived in Canada many years, but I never heard of the Texas or Hawaii burger.
I remember a favorite of Hawaiians- two scoops rice, two burgers, two eggs, gravy. Guaranteed to add weight by the ton.