It might be Cattleya purpurata var. schusteriana ‘Elderwood’. We must really be careful in keeping track of our nomenclature.
Schusteriana is one of the many accepted varieties of Cattleya purpurata. ( Laelia purpurata )
There are others:
Carnea
Werkhauserii
Flammea
Alba
Albescens
Striata
Etc. etc. etc.
There are so many varieties it has become very confusing keeping them all straight. Many varieties, if not all, are based upon a variation in color. In my experience, schusteriana has whiter petals and sepals with a lip colored like yours.
In Brazil, where they are native to, there are dozens of named varieties. I lose my mind in trying to figure out if I can really see differences in many.
I mean carnea has a pink lip, granted. Werkhauserii a darker plum purple lip with a rich lip color that seems darker, almost a blackish purple if you will. Yours has a brighter purple lip.
Some varieties are named because of the different colors shading the sepals and petals. Some have color in the petals, not the sepals, some have color in both, some have color in the sepals. Some varieties have colored veins in the flowers. It can be very, very hard to try and differeniate.
The Elmwood is just a clonal name, not a valid varietal name. Say I have two different schusterianas, one with a fuller lip and one with a normal shaped lip. I might assign each a different clonal name. Which mean nothing except to me. Why? Because out of bloom they look like twins, or they look like all the other purpuratas out there. But in my collection, out of flower, I can tell one from another by the “clonal name” I assigned to them!
I hope I helped you.