Hi, Anne.
Dema and Sherdley/ Ravenhead were the two big UK makers of screen-printed glassware, although quite a lot seems to have been imported too - eg Durand from France. Lots also produced in the US by a number of different companies from the 30s onwards, although I haven't seen much on UK e-bay, which tends to suggest that the US companies weren't much interested in the UK as an export market.
I've never seen this shape in Sherdley/ Ravenhead packaging or marketing, so Dema or Durand would be my top guesses.