> I was referring the point --- were the stones shaped by
> "routers" ---
Routers, lathes, drills, saws.
Early 20th century stone lathe:
This is an interesting site regarding late 19th/early 20th century industrial stone cutting tools: From Quarry to Cemetery Monuments.
One thing to consider regarding what tools they may have used is that they also must have had mechanical apparatus to secure and turn the stone as well as precision move the tool.
Early 20th c. stone cutting gang saws:
The Romans used water powered gang saws similar to these to cut large slabs of marble veneer.