(x) Sonic/Steak 'n Shake menu font - House Sign Painter {Jim}

I spotted a nice font on the Sonic menu a few weeks back, and today I saw it also featured on the menu at Steak 'n Shake. I've searched high and low and I can't find! It's driving me nuts.

Here's two examples from Sonic (sorry for the lack of size):

And two from Steak 'n Shake:

I thought about it being a corporate font, but I am not sure that the same company owns both places. Any help would be appreciated!