E. & L./Edinburgh Crystal produced a vast range of designs, which apparently occupy fourteen substantial factory pattern books - covering a period which started around the 1870's - and it's possible these are now owned by Wedgwood Waterford who bought Edinburgh Crystal, but not certain on that, perhaps someone here can comment. The mark you show indicates a post 1955 production date after which the factory name had been changed to Edinburch Crystal, so that might at least narrow the date down. The first piece may not have any specific use - just a small ornament, or perhaps vase, and the drinking glass I'd suggest is a bucket shaped bowl for either claret or sherry. I'd agree that cut glass can be addictive, but unfortunately this style of unexciting cutting didn't do much for its popularity, plus much of the sharpness of design was lost due to over acid-polishing (wonderful economics for the factory, but the 'feel' was lost). Have a look at some of the cutting patterns/designs from earlier in the C20 - and bearing in mind where you are you'll doubtless be aware of the looks of 'brilliant cut'. Earlier cut pieces were hand finished/polished (after the initial cutting), thus leaving the pattern much sharper and giving the lead glass the light dispersing qualities it should have.
Use the search facility on the Board and you should find one or two interesting posts about Edinburgh & Leith, also Edinburgh Crystal - and there is a small book which is of interest called 'The Story of Edinburgh Crystal' by H. W. Woodward.