If I may...I have a Colt Police positive chambered in .32 Colt. A .32 S&W of any sort will not fit into the cylinder of the very early Colt Police (I remember mine being circa 1907). The diameter of the brass is just too large by a couple three thousands.
I've been down this rabbit hole. Luckily, the OP's revolver must be chambered for .32 S&W. If he has any .32 colt, those rounds are collectors' items, haven't been made for many decades.
It's quite the dance to reload for the round as well...turn the brass down in a lathe, source some .32 cal. heeled lead bullets, and still had to size the entire cartridge in a bullet sizer. A headache, but it's accurate in a across the bar room way.
OP...thank the stars you don't have a .32 cal. Colt proprietary cartridge revolver...I like mine 'tho... craftmanship...and I did buy a Police Positive in .32 S&W made in the 20's.