The Firebird logo was created by Terry Finnegan:
"James Leavey employed design company Simonson Finnegan to create the Firebird logo, having used them for other BT projects in the past. Only one version of the logo was ever designed, with Creative Director Terry Finnegan nailing it at the first attempt. Despite a few tweaks here and there, the logo survived relatively untouched for the whole eight years that the Firebird label published computer games."
https://web.archive.org/web/20090419140 ... _hist2.php
I had a look at images of the outer sleeve of the record (front and back), and there's no credit for art or graphic design. It's possible there's something on the inner sleeve, but I couldn't find that.
(If you're searching for the album cover, it's the 1981 Contour Red Label edition, performed by the New Philharmonia Orchestra, conducted by Ernest Ansermet.)