I'm afraid I can't help you in identifying the pattern on the glasses. However, the box may be of some help in telling you where it came from (different cities/towns/factories all use their own specific and readily identified designs, eg what used to be Waterford Crystal in Ireland had different designs to some of the other, locally produced, products from other cities and regions) and your family might be able to tell you when the glasses were originally acquired (given that fashion - even in glassware - changes over time).
Good quality crystal will have a fairly high percentage of lead in the glass - it should feel heavy enough when you hold it, and should give off a very satisfying "ping" sound when you flick a finger at the glass.
One further thing; I cannot understand why anyone ever keeps these beautiful objects in glass-fronted side-boards, or, indeed, in storage boxes. The best of them are exquisite; use them. Enjoy them. If they get broken, they get broken; such is life. I have a number of crystal glasses from a few different sets which together make up a complete set; some of their comrades have perished on their life's journey. My view is that they were made to be used, and as such, can transform an ordinary dinner into an occasion, a celebration of life, family and friends.
One of life's great pleasures is to drink a bottle of excellent red wine (or white, if preferred), rich and redolent with flavour and depth, with friends, preferably out of a glass which matches the occasion. When I am in my family home, I use the family - and my own - crystal glass always. Don't let it gather dust in storage. Use and enjoy them.
Cheers and good luck