Old TVA Flag

I got this at an estate sale today. I'm assuming the TVA stands for Tennessee Valley Authority (I'm in Tennessee), although this is not what the current flag that represents the TVA. It's roughly 44 inches high and 56 inches wide, about standard size I'd imagine. The material feels silky, and it does have some age to it. Can anyone date this for me? Would this have flown over a TVA office building? (I didn't pay much for it, I hope it's not stolen, geez)
Also, I have no idea what category this might fall into.
Okay history buffs, tell me all about it!