The Ludwig Drum Company was, (and still is), a well-known drum manufacturer, started in 1909 by brothers William and Theo Ludwig in Chicago. The company, originally called Ludwig & Ludwig, began manufacturing Banjos, (and Banjo Ukuleles), in the mid-1920s in order to win a military contract over Slingerland. Unfortunately they moved in to Banjos just as the instruments popularity started to wane and this venture lost Ludwig over $150,000 and nearly bankrupted them. To avoid this Ludwig was acquired by Brass Instrument manufacturer C.G.Conn in 1930, (who wanted the marching band drum contracts), and the loss making Banjo production was halted in 1932. 

At the time of Banjo manufacturer Ludwig did put out a range of Tenor Guitars, (I'm not sure if they actually made any of them? I have seen a Harmony made one with an aero bridge), but they never, to my knowledge, put out any wooden Ukuleles? Like their Drums, Ludwig Banjos and Banjoleles were all top quality and aimed at the professional player, even today they are considered some of the best Banjos ever made. Wendell Hall had an endorsement with Ludwig for Banjoleles like the one he had with Regal for Ukuleles