I see Pamela has one of these sticks on her Candlestick Site, No. 02410, - unattributed - maybe it came originally as part of a trinket set - but I don't really know. In terms of make up of glass, it must be very unusual... having, as you can see, Uranium throughout except an area of the foot, where there is a very clear cut (but irregular) line where the glow ceases, and non U. continues. It looks very attractive even without the torch, having a sort of rosy tinge merging with the yellowy green. Height is 115mm/4.5".
Pity its partner was missing. Anyone have any thoughts to share, and thanks for looking.