Bi-pass closet door roller set
Mine is 4" 1/4 long, 6/8" wide. With a 1" diameter wheel.
You carry
Pocket Door Roller Pair, 7/8"
Product Code: 23-175
We unfortunately don't sell an exact match for your old roller. Looking through our inventory, I would say that our best option is the 26-039P. While still different, I do think it's fairly close, and its dimensions appear to match up pretty well. Look it over and see what you think.
Yes! The 23-039P pair comes with the necessary fastener. As for the requested dimension, I ran in back to check and it's approximately 2-1/4" between the center of the wheel and the top of the side slot. Hopefully this is what you were looking for.
Given that the total length on yours is so different, odds are very strong that the 23-039P isn't a match for your old part. That doesn't necessarily mean that it won't work, of course, but it does mean that you may have some adaptation in store. You need to make sure other measurements match, especially the wheel size, before you buy anything.