Well, since you are being vague, I also have no idea what you mean by "generic copies". I am going to guess that you are looking for leather cup seals. I got quite a few hits using the search "hand pump leather cup seals". I also found this sight.
https://www.merrillmfg.com/products/cup-leathers#Thanks, I knew I just needed to enter the correct wording. I tried hand pump parts, didn't get the results I wanted.
Generic copies was a reference to most of the Hardware stores out there, they all seem to carry fast moving stuff, not small repair parts anymore.
Appreciate you effort. Roy