The first piece looks more Monarty to me - colours too vibrant for Vasart. I'm not sure it looks very Strathearn either........
To my (limited) knowledge, only Stuart Strathearn polished rims. It would help no end to actually see the whole thing of your second bit - shape can be important.
I don't know if Stuart Strathearn did lamps, but Strathearn did.
Also, in some recent years, Franco Toffolo has been spending some time with John Deacons and Willie Manson, playing with takes on the Tulip lamps in the "Scottish style" (as well as a load of other stuff). They are rather exuberant.
However, he has now retired from glass completely and is living in England somewhere.
(I just found that out yesterday, from the Strathearn Gallery in Crieff, where he was selling his work)