Thanks for the input guys. The picture that camano posted is of the one I have. You can see the words "C.S. Osborne 66" written on handle if you look closely enough. Osborne advertises it as a leatherworking hammer, and actually has a separate hammer advertised as a "shoe hammer" (the 65), but from what I've seen, given the style of it's head, it's generally accepted as a cobbler's hammer.
Here is the link to their hammer section if you want to see what I'm talking about.....http://www.csosborne.com/l-hammers_1.htm
I got it for the purpose DavidL mentioned, flattening seams & shaping leather, as well as for closing seams when gluing pieces together. That's why the shape of the striking face is a problem. The main thing I want to do is make small, thin minimalist wallets, so the warped portion would end up striking the table and causing the rest of the hammer to hit at an angle, which would defeat the purpose of using it, and it's almost useless for shaping, since the warped portion would have a substantial chance of digging into the leather and leaving gouges. I'll be getting a poly mallet for hammering punches, chisels, etc... as well. I would have posted a pic last night, but it appears that either the forum software they use here doesn't allow for normal attachment methods or I don't have them enabled yet since I'm new. I'm gonna try a few things after I make this post, but I've got no idea if any of them are going to work.
Edit: Ok, I've figured out how it works now. That is one convoluted method of handling attachments.
Edit 2: Didn't realize how bad the first pic was. Attached a second, clearer picture.