Yes, there are bridle leather examples and fancier/older ones with red Moroccan leather from the war of 1812 era. The sword belt for the civil war that you see so often is actually an 1851 model.
It's a detail of General Zachary Taylor from the William G. Browne painting of his headquarters at Walnut Springs during the War with Mexico, currently in the collections of the National Portrait Gallery.
General Taylor did not customarily wear a uniform, but generally the old brown citizen's coat seen in the painting. Or just his shirt-sleeves in hot weather, etc. US Dragoon veteran Sam Chamberlain depicted Gen. Taylor identically in his paintings of the 1847 battle of Buena Vista, cheering on the dragoons to the attack...
A brief discussion of Taylor's victory at Buena Vista.