This variation of a belly-to-belly piledriver refers to any belly-to-belly piledriver that involves the wrestler holding the opponent in a belly-to-belly position, then falling to a kneeling position.
The name "tombstone piledriver" was popularized by The Undertaker and later Kane. It was also used by Finlay back then. However, the move had been used under many names by other wrestlers years beforehand. Justin Credible currently uses a spinning variation named That's Incredible!