These posts are like want ads in the newspaper. You would not spend extra to have "Car for Sale" in your ad if you were selling a car; you would put "1995 Ford" or "1963 GTO". Everyone here needs help, and we're all looking into our past. So, a specific heading works better than yours.
You usually have to get back to the early 1900's or further before you can get data from the Internet. Not always.
If you can find your grandfather's obituary, cemetery record or death certificate, it may tell you his parents. If you can't, but he's on the SSDI, you can order his SSN application for $27. It will have his parents and birthplace.
Coats of arms are given to specific people, not families. The only one who can use a C of A is the oldest legitimate son (grandson, great-grand son, etc.) of a man who had one.
There are about 400 companies that will sell you a full-color coat of arms that may have been issued to someone with your surname at some point in the past; they don't usually bother with the formalities, as long as you send them $39. ($59 for the walnut plaque.)