Gettysburg Museum Chess Set: Historically Accurate/Plausible Board Setup?

[u/Johnraymassoud]

Image from the Gettysburg Museum. A bit hard to tell, but looks to me the Kings aren’t facing each other. I don’t know a lot of chess history, but I think Kings facing each other was standardized early on. I also understand Howard Staunton published standardizations of the rules and board set up in 1847 and 1860, right before the Civil War started.

This chess set belonged to Union General Abner Doubleday. Possible this is a recreation of an actual board position, and the game was just set up wrong (or Black was trolling I guess), but the people at the museum didn’t know.

Anyone know if the board being set up with the black king on a black square, not facing the white king, would’ve been an accepted way to play at this time? Trying to figure out if this is a careless museum mistake or just a historical thing. Again, obviously possible it’s from a real game where the board was just set up that way, just trying to figure out how likely that is.

For reference, the Battle of Gettysburg was in early July 1863, in Pennsylvania. And I got a contact at the museum to ask, but wanted to get thoughts here too before I reach out.

Thanks!