Shady Rest Hotel sign font from Petticoat Junction TV Show

[IceWine]

I was looking for the font for the SHADY REST HOTEL that was used on the sign from the TV show, Petticoat Junction.  I found this re-creation of the sign on Amazon and was wondering if anyone knew the font used here as I've had no luck identifying the actual font from the TV show.

[Riccardo Sartori]

The original was almost surely handpainted, not a font. I was unable to find a match for the recreation, but perhaps something like Old Abe would be closer to the original.

[IceWine]

Thanks so much.