This is the "South Side" Rose St and the nearest burial ground would have been the Southern Necropolis. It later had it's name changed to Florence St and Scotland's first-ever world champion boxer, the great Benny Lynch, was born at number 17.
Another great was born at number 71 Rose St - wee Maggie Sinclair, my granny. She was mostly famous for her Scotch broth and going down to the Bookie's in her carpet slippers!
So your ancestor is in good company.