Windsocks from different Oil Company's were at every large and small airport across the U.S.
As stated by others; most likely yours, could have/would have been used anytime from the 1930s to the 50s...
I've seen Standard, ESSO, Phillips 66 (from the 60s-70s) windsocks... In photos, I've seen Mobil,Tydol,Texaco and Associated Oil
I had a Shell windsock around here, once upon a time. I don't remember what I did with it....
Here are 2 images from the 'net:
Someday, I hope to have a Tydol and the much rarer Associated Oil socks....