I had to read up on this a bit. Yes, they were Gulf South from 2000-2010, then to Great American upon is formation of Arkansas and Oklahoma teams. Someone has invested some time with their team's Wiki article, very well done:
en.wikipedia.org
en.wikipedia.org
The Gulf South has a special place in my heart, with its rich history of Alabama small school football. Livingston (West Alabama) and Delta State are the only two left from the original 1970 members that included Jax State, Florence State (North Alabama), UT-Martin and Troy. As a kid, with the limited access to national games we had then, I followed that league. One of my coaches was Roger Hibbs, who starred at Jax State, had various degrees of success as a coach (won State at Crossville) but had a huge influence on me.
en.wikipedia.org
RTR,
Tim