I recently read and finished both Texas Trio and Wagons To Backsight. Texas Trio is, as I believe someone has already mentioned here, the expanded version of Troubled Range. So it has the pretty good saloon battle between Calamity Jane and Belle Starr. There is also a good catfight earlier in the book between Joy Turner and Jill Hambling. The 2 women are saloon girls and it's a staged fight that takes place in a roped off section of a big barn before a paying audience. Although play-acting at first, the fight becomes real as one girl hits the other a bit to hard and the other responds in kind. It becomes a topless battle. If you've not read Troubled Range, you may want to get this longer version.
Wagons To Backsight has a brief fight outside of a corral between Louise Raines and Sue Ortega. There is no rivalry and no lead up to the fight. It happens through a misunderstanding. When the misunderstanding is cleared up, the two women become close friends. For those following the lives of the various key characters, Sue becomes the wife of Red Blaze. It's a fairly good wagon train story. There is a missed opportunity for a good catfight though. One woman on the train, Maisie Simons, is a Pinkerton agent who has been in several catfights under her cover as a saloon girl. Another woman on the train, Miss Considine, is a tough, corrupt land agent's sister. Maisie has been trailing Miss Considine gathering evidence to catch her at the crimes she's committed, including murder. Maisie wishes she could get her bare hands on Miss Considine, but in the end shoots her (wounding her), then drags her onto the street and rips open her blouse to expose a bullet scar that helps seal her guilt. This could have been a real physical catfight finale but it wasn't. I'm surprised JT passed on this obvious opportunity.