I've an amethyst cylinder that's unmarked, so obviously there are some floating around without the backstamp - must admit I didn't know it meant a second. Generally, although these cylinder vases are simple pieces they are well made.......... the base depression has quality, as with the casing and a good weight to them.
This one looks to be right, and has appropriate wear. Without a label don't know how you tell the difference between these and Lemington.........I think we've chatted about this before.
attached is a pic of the base showing the backstamp on a 9" vase (just less by a very small amount as Neil suggests).