DG, you do have a Leslie... it might be a somewhat old one. Don Leslie started Electro Music to manufacture the speakers in the 1940s. He sold it to CBS in the mid 60s. Years later, Hammond bought the company from CBS.
Here's an article about Leslie.
FWIW, back in the 70s our organ player had a Leslie extension cabinet that hooked to his Cordovox amp. It had a 10" speaker and the baffle rotated around it. I think Fender also marketed a Leslie for guitar that had similar construction. It looks like that's is what you have.