That is certainly possible. The point I was trying to make was that the Roman Empire was not persecuting Christians in 5th Century. It was at the time trying to fend off invading barbarian hordes. By 476 AD the Western Empire fell.
I would think the archaelogists who found the bones could determine the age of the bones and therefore whether or not your theory is possible.
Agreed - just a semi-educated guess on my part.