I found another intresting link.

If you see word of "Enshu" this in not mean to be Kobori Enshu. It is name of place, Shizuoka prefecture. Kobori Enshu was Dainyo/warlord of this area. one of town mentioned in this link is where my mother was born, my cousins live. other near by town where my anut and other cousins live. I have been visited numbers of time over there but I did not know those stone lanterns. .....mike

Here is a link that might be useful: different kind of stone lanterns