I always thought the name Rusk came from the downtown street which happens to be the street which intersects with Main where Jesse's most notable contribution to the Houston skyline stands, the Gulf Building (original and long-time name, I forget what it's called now), which I thought also might be where his offices were located. Turns out I was almost right.... from my history:
"In a history published in 1990 for the 60th Anniversary of KTRH John T. Jones explained the origin of the name of the Rusk Corporation. He said they were casting about for a name that wasn't used and decided to name it after a Houston street. They began at Buffalo Bayou and started ticking off the street names until they got to Rusk, which happened to be the street their offices were located on."
The Chron is at 801 Texas at Travis. KTRH was in the Rice Hotel, Texas at Main.
So far as I know, Rusk never owned any other stations although in the 20s and 30s, Jones/Rice Hotel owned KGDR, San Antonio, which they moved to Austin to become KUT so they could hightail it with a 1000 watt transmitter and move KUT to Houston to become KTRH.
A question: I was only in Ft. Rusk once so am not too familiar with the building but I was told once the KLOL operations were actually across the street in an old mansion. Eh?