Your hammer was probably originally sold as a tire hammer. That's what I usually see them marketed as. Ken Tool is probably the main maker of them today for professional users. It visually looks like your hammer might be an old Ken Tool model T33R. If your hammer is a T33R or similar hammer, T11RH is the rubber face your would need to get it up and running again.
www.kentool.com
I'm not sure if the more commonly available Vaughan RM24TB or RM24TW rubber replacement heads would fit your hammer or not.
People often buy these hammers at garage sales and use them in their shops as general use hammers. I don't do that personally, because I like my hard and soft faced hammers to be separate from each other. When one face is steel and one is soft on the same hammer, it's a little too easy to accidentally use the wrong hammer face if you aren't paying attention.