Ignore the board, it's not original to the set. These were my father's, and went with a marble/stone board that I remember being badly cracked and left behind during a move. I don't think they are that old, maybe from the 60's, 70's, or 80's since I believe my father bought the set before I was born in '85. The knights in particular are pretty interesting to me though
Anyone recognize these chessmen?

Ah, that's really interesting! It's as you say, the set is in a simple wooden box with no identifying markings that I have been able to find. Thank you!

I am not 100% sure, but Uhlig is a maker which also came to my mind when seeing this. However, the knight's base is somewhat different from Uhlig sets, at least from earlier ones. Regarding bone, Uhlig made in fact bone sets (actually, Uhlig is famous for them and most sets you find nowadays attributed to Uhlig will be made of bone). But this one is not bone! It is a chess set made of (buffalo) horn. Very nice material, actually.
As for the catalogue, I have an Uhlig catalogue from ca. 1913, which shows their assortment of that time and it includes both bone and horn chess pieces. But I agree that this chess set here, if it were made by Uhlig, is most likely from a later date. The design has changed over the years and this one here seems to be younger than the "usual" early 20th century Uhlig sets.
Here are some examples of Uhlig bone chess pieces from my collection. The last one is in one of the rather rare original Uhlig boxes. I have more Uhlig sets, but unfortunately have not pictured all of them yet.
You can find more pictures on my website, in case you are interested.