Although the leslie and the organ use 6 pin connections, they are very different. The Conn 580 is designed to work only with the leslie 251. Plug a110 into a 251 socket and you'll damage organ, leslie or both. You'd need a connector kit, commonly known as a 26-1 or as a 7269.
To be honest the 110 won't do much for the sound as the rotor in the 110 is identical to the one in the Conn. You'll get greater separation of sound but no real improvement in tone quality.