I inherited a handful of paper shares of a small company several years ago. I'd get these paper checks for $1.02 every quarter for the dividend. If it is paper shares... Sign up for an online broker (Vanguard, Ameritrade, etc) and go through their process to "deposit" the paper share.
You'll likely have to get a Medallion signature guarantee, which can sometimes be hard to find. In my little town there are only a handful of places that do it and you MUST have an account there in order to get it done.