Hey ya Jim,
Ford offered Deluxe Broadcloth and Deluxe Mohair for the seats in 1940 Deluxe model Fords. It offered Standard Broadcloth and Standard Mohair in the Ford V8 models. Now, please understand the deluxe versions appeared nothing like the standard versions. You could spot the difference from 20' away.
They (Ford) never offered sidewall cloth nor head lining cloth on the seats. Nor do I believe they would have allowed a "special order" of such. The logistics of installing it would simply not be worth the little that could be charged the consumer plus, the side wall and headliner cloths would wear way too quickly on any seat surface.
If anything, I could consider the possibility that someone could get the standard cloths in a Deluxe model and vice-verse.
My gut tells me that seat you've pictured was in fact recovered when the car was fairly young. As you are well aware, a lot of things happened to these cars through the years. By 1950, these '40 Fords were pretty much worthless and as such, little care was taken to utilize "correct" parts, etc.
It is also a possibility that the seats were simply worn so bad as to appear like headliner material. I've seen this on more than one occasion. A '39 coupe I had restored about six years ago had the factory material in rather beautiful (not torn) condition. However, any signs of a pattern or nap were long eradicated. This happened not only from rubbing against the seat but simply the sunlight, ozone, etc. the interior was exposed to.
I know some guys that have authentic door panels that appear to be some sort of pyroxilyn (sp?) when in fact, the sunlight, etc. has simply removed any signs of the "cloth" feel and appearance.
I have authentic (large) swatches of the factory interior materials offered in 1940. Unfortunately they do not photograph too well.
It took me a bit of searching but I came up with a couple of photos that may help you with the swing arm, etc. Also, the one of the upholstery is an authentic 1940 Ford V8 coupe with the standard mohair.