I took a quick look through your profiles. So - it looks like your grandfather, William Henry Shaw, Sr. (born December 7, 1940) married Yvonne Berryman - (born November 2, 1942 in Concord, North Carolina). The first thing I would look for if I were you is their marriage record. If this was their first/only marriage, my guess is that they married sometime int he 1960s. As such, they likely filled out a marriage license application which contains lots of helpful clues, such as birthplace and often the names and birthplaces of the bride's and groom's parents.
Do you know when/where they were married?