A candlestick like this is very simple.
I just took someone through this,
HERE, and the principle for you would be the same. You can perhaps even use the identical diagrams.
However, first you do need to determine whether your transmitter is for local battery service of for common battery service. A local battery (LB) telephone uses a battery at the substation to power the transmitter. LB transmitters have especially low resistance to avoid wasting battery energy. I believe the early Kellogg transmitters for local battery, have an —L suffix with the type number. Are there any markings on the transmitter? Of course you also need to determine if the transmitter is even functional anymore, same applies to the receiver.
Oh, did it even come with a receiver? No, it didn't, I see. So you need to find one. They made several versions at the time, 6-A, 8-A, 12-A.
You also need to examine the hookswitch contacts, just like in that thread I quoted.
In addition to the desk stand, you need an induction coil and a condenser, both typically contained in a box at the wall near the desk. Kellogg also had the induction coil mounted separately on a wooden connection board early on, and used a separate ringer and generator box.
