Well, found a partial pic of a Jenny wheel, about a quarter of one at least and the 40 spoke count looks on the money. Some of the JN’s I saw had “solid” wheels, don’t know if they were caps or not, but they were inside and out, so I would assume not spoked wheels on some versions. Not much up on Jennys. There is bound to be a Jenny about that someone can take a snapshot of.

Here are the best pics I could find. The one on the right, the blurry one, seems to show a smooth tire per your description.