Chloe — Very nice indeed (the Andromedas). There were at least four versions:-
Freestanding with an extra tall rocky base like your, sold on its own or with a large bloom ring,Peg base to fit bloom ring or flower block,Short peg base to fit flower block, andBayonet fitting peg base to fit the 1950s–60s Leek? chrome lamp, also sold with a glass rocket, probably not by Bagley.
The free-standing version is not at all common in my experience.
Any retail prices on glass are rare, so your 1/6 on the base is interesting. Don't wash it off! ... and, please, never convert 1/6 to 7½p. Somewhere on this board there are links to a variety of far more sensible conversion tables based on worth indices like retail prices.
Bernard C. 8)