Texas History had some of the same problems as did the American Revolution,IE Rifle vs musket , Indian fighting, in fact some of the worst in history.While one wasn't fighting Indans you could get into a row with the Mexican authorities over a dictatorial government.Sound familiar?
Even though The dictator Santa Anna claimed to be the Napoleon of the west and styled his army after the French he used surplus British Brown Bess muskets.
The civilians from the United States brought over percussion rifles,and or shotguns.Many were using percussion here long before 1836. However some were still armed with flintlocks ,we're locked in a debate as to how many percussion vs flintlocks there were. The flintlock supporters claim that flints were cheaper than caps and the people were poor so they must have kept their flintlocks longer. The further we look the more percussion's we find. I guess it's the same everywhere if your booty is on the line you use the best available.
I've heard it said that the Pilgrims were poor so they must have used only matchlocks,however in digs at old forts and cities in America they are finding wheelock spanners and Schnaphans parts pretty fancy weapons for poor Pilgrims.
Lately we find three winged musket caps on the battle field at San Jacinto I sure would like to know which group had those.
The Mexican army did use the Baker rifle.