wish you success with your re-sizing.
I hope I get this next bit right...........correct me please if I'm at all wrong.
Assuming your glasses are the age you say, then the name 'Edinburgh Crystal' wasn't in fact part of the name of the company - but rather a description of the quality of the glass - in the same way we might speak of lead crystal glass, for example.
The company name for pieces made during the period of which you speak would have been Edinburgh and Leith Flint Glass Works/Company - and it's just possible this may have some bearing on searching for this design...........possibly not, but just a thought.
It's a blindingly obvious question, but assume you've looked for a backstamp - would be on the underside of the foot, and for pre 1945 wares would have been in a roundel form showing upper case E & L inside the words Edinburgh Crystal. Backstamps can be notoriously difficult to see, but since you have so many pieces, had these been marked you no doubt would see the mark on at least some of the glasses.
According to the company pattern books (I forget where they are now held - is it Waterford??) - the E. & L. Thistle design was designated as pattern H828, and appears to have a 24 point star base.
The 'Thistle' suite was apparently revived during the 1920 - seems always to have been on of the cornerstones of E & L designs - presumably Victorian in origin - and reading the booklet that was produced in 1984, seems there was a whole wine service developed in this pattern in the 1920's.
However, all this is of little value, since the booklet shows glasses without the knop, and confirms as we've discussed, the fact that engraving was applied above the slice cutting.
What is the extent of wear on your glasses - is there a ground/polished pontil depression - and have you looked carefully for a backstamp??
and assume they ring well when flicked.
You might try contacting Broadfield House Glass Museum.
Ref. 'The Story of Edinburgh Crystal' - H. W. Woodward - 1984.