If, instead of just treating the whole lot as the fiction it probably is, we are playing one of those fun games like "Where exactly was 221B Baker Street?", then there is a much more fundamental question: What killed Jesus?
It certainly wouldn't have been crucifixion, which was deliberately designed to be a slow lingering death lasting days. Taken down from the cross after only a few hours, Jesus would have suffered from painful holes in his wrists and feet, aching muscles and a very sore back - all treatable by Joe and Nick (sorry, Joseph of Aramathea and Nicodemus) in that cool cave with 100 lbs of ointments.
Incidentally neither Mary of Magdala nor anyone else would have seen Jesus' "death". One of the many things we know about Roman crucifixions is that they were very casual and contemptuous affairs in the local rubbish-dump with no member of the public allowed near. The cross (actually a T) would have been only about 5 ft high - just enough to get the victim's feet off the ground.
The standard picture of a tall cross at the top of a hill with friends and relations gathered at the bottom comes from the imagination of the artist, not from history.