Thanks Ivo and I guess it's possible just the metal band was made in Czechoslovakia and stamped as such but...
And the Etsy seller, Suzanne Dewar (CornermouseHouse) has kindly agreed that I can use her text and images here to confirm the information.
So "Here's a vintage Czech Glass Barrel Set in frosted pink glass. It has three metal bands, one of which has rings for holding 6 small shot glasses. It's marked on one of the bands, 'Czechoslovakia'. ... Neck and stopper are both ground. Barrel including stopper measures 7" tall. ... Spigot is fitted onto a cork."
There are differences from mine but overall, very similar with the same, neck and base finish.
Alastair