Braces or suspenders or galluses, etc., were what was worn to keep up your trousers. Belts were worn to hang stuff on.
One down side I've found with just cotton braces is that when they are sweat-soaked, they don't slide on your shoulder so when you are squatting or moving a lot, they put extra strain on the back buttons and can tear those guys out. Fortunately elastic suspenders came along in 1820 so my 1832 fur trader can wear them and be in period.
r/
MM