With respect to the Texas Rev period, the Refugio Militia from the Goliad era is one of the most respected re-enacting outfits.
Here’s their take on available weaponry ca. 1836. Keep in mind tho they are talking regular settlers, ie farmers and tradesmen, not Rangers or members of ranging companies. For example there were a lot of muskets around, but I might pack something different for heading out across the plains to pick fights with Indians.
They were living on the very cusp of change tho, the flintlock era was on the way out.
"...if the gentlemen of Virginia shall send us a dozen of their sons, we would take great care in their education, instruct them in all we know, and make men of them." Canasatego 1744
