I have some info for you. This suit is pictured in an article I have from Threads magazine May 2001.
'Working often with NY textile designer Pola Stout, Adrian designed many suits that capitalized on the subtle stripes and tiny geometric figures she wove into her wool fabrics (two examples of which are shown in the above images). Adrians manipulation of stripes, often intricately pieced and always beautifully matched, was legendary.
The most visually exciting geometric effects often occur when two or more lines intersect at different points. Depending on the position and direction - horizontal, vertical or diagonal - the figure as a whole or certain targeted areas can be lengthened, shortened, made to recede, or appear to be larger.
The brown checked jacket positively vibrates with energy. Technically, the perceived movement created by the checks is called 'autokinetic' or self moving. Four different sizes of the same check are combined in the jacket. The smallest check is reserved for the upper yoke, minimizing broad shoulders. A medium sized check is used for the next level, with a larger check occupying the next two sections. The same fabric stacking is used down the right sleeve. The real pizzazz comes from the giant-sized checked material of the jacket and sleeve. The dramatic slashes move the eye across the body, never allowing it to settle on one particular spot. They pierce the visual lane with staccato gestures. Any figure faults become secondary to the movement created by these inserts."
Another paragraph gives some insight into the time and labeling of his works.
"With the opening of Adrian, Ltd., in the fall of 1941, a new chapter started in Adrians life. Cut off from their usual Parisian sources of inspiration and forced to observe fabric restrictions by World War II, American designers such as Adrian, Normal Norell, and Pauline Trigere were beginning to define the "American Look." Adrian offered a full line of clothing: his ready to wear line carrying the "Adrian Original" label and his couture clothing, "Adrian Custom," sold through his Beverly Hills salon. But it was his imaginative suits that really captured the spirit of the times. "
So your fabric is wool and would have been designed by Pola Stout.
Lizzie, you may want to include the label info in the Adrian bio too!