Your story is intriguing DB. Part of me wants to believe there are piles of lost London antiquities, but isn't the existing London Underground system the deepest in the world? That would put most of it well below the ground level of Roman London.
The original London Underground system was a lot shallower than the existing one (cut and cover) so perhaps this is where the stories came from.
The 'lost stones in London' question rings a bell with me. I'm sure someone has raised something similar on the Forum in the past, but I can't find it.
This lot might be useful though:
http://www.themodernantiquarian.com/forum.php?s_id=1904
Kammer x