If you can find a "Kalamazoo" brand with the 2-1/4 threaded body, that or the equivalent Buck brand would most likely be the original equipment fitted to the Logan. Buck manufactured most all of the chucks fitted to Logan lathes, and probably Atlas, Craftsman, etc. (would a more knowledgable member please comment on that last claim?) Buck is very expensive, and a little weak on customer service. Another excellent brand is Pratt-Bernard, some of these are British manufactured and some US, they're good. I think MSC represents them. Again on the pricey side.
The other posts about Bison are correct, they are a good, heavy well made chuck and have gone up in price, but still good value over the Asian products. I have a Bison six inch, three jaw universal, nice chuck. It has the two part jaws.
The Asian four jaw chuck(s) I have are heavy, but the screws are a bit on the rough side. They work it just takes some patience to true stuff up. Grizzly probably has the best overall selection in the budget area...
Geoff