Ector's Brigade for the Atlanta Campaign had two basic flag patterns.
The brigade was posted in the Mobile area before being transferred to Georgia and the two North Carolina regiments of the brigade received the 12 star Mobile Depot battle flags and carried them through the Atlanta Campaign.
Robert Maberry, in his encyclopedic book on Texas flags, found an account that one of the Texas officers was in Richmond in May, 1864 and brought back with him four of the new ANV Fourth Bunting battle flags, the only flags of this pattern to serve in the Army of Tennessee. It is not known if these four Texas regiments of the brigade received MObile Depot flags or not.
Three of the four (and maybe all four - I will have to check) Fourth Bunting flags survive today. The 9th Texas Infantry is in private hands. The 10th Texas Infantry is also out there I believe. The University of the South holds an unmarked ANV Fourth Butnign taken at Spanish Fort, Alabama in 1865 that will belong to one of the Texas regiments of Ector's Brigade but we do not know which one.
I also have notes that the 32nd Texas Cavalry used a Lone Star flag early in the war. I do not know if this is a Bonnie Blue flags or the Texas state flag.
Hope this helps,