As the guys have said, you have a "Home Run" on your hands...
The "Flying A" and the Associated Attendant are 2 items that one hardly ever see. Not a lot of them survived... And most that did were/are so weathered that it is next too impossible to make out the original features....
Looking for Tide Water/ Tide Water-Associated/ Tidewater items
just an opinion here but I have the sign Dennis pictured. I believe the signs shown here are repops, several have showed up lately. I remember seeing these in various brands on eBay a couple years ago. I will post a pic of my original, to me the face is wrong but hey, what do I know.
Here's a pic of mine, came from underneath a bulk plant 50 years ago. Your 2 make 4 that I've seen in the last couple months with the later style face. Could have been a find, all the conditions seem to be identical which always seems suspicious but again, only my opinion.
they did re-pop these with various company names on them, but considering the other items that came with them I believe they might be alright- I haven't seen anything else questionable that you've shown us..