@Jayne the videos were very helpful, but sadly they make it look like my mount may not be suited for any telescope other than the one it came with.
@derek the black knob, when loosened, only allows for rotation of the telescope (you can see the dial just under the knob, it rotates around that axis).
It appears as though this mount is not designed to allow for other telescopes to be attached to it.
Again, thanks everyone for your help. I might need to buy another mount for my new LS50THa. I'm going to post one more round of pictures to see if anyone has any other advice before I purchase a new mount tho.
Thank you, James