Thank you to all who replied. Since this is year 2, I wanted as much growth as possible and have not pinched or pruned at all, just left the fig to its own. I will prune the low-lying sucker growth this fall, and hold off on the pinching. It's time to You-tube Fig pruning to figure this out.
For fertilizer, I am using Miracle Grow Shake-n-Feed Tomato, Fruit, and Vegie. Shaking a small amount once per month, maybe once per 6 weeks. I read somewhere a little goes a long way and over fertilizing is bad and can shock your plant.
The Brown Turkey was a gift from a non-fig person who received it from some one else, he said it might be a brown turkey.
I am growing 10 potted fig plants in a sunny area on my driveway. It gets sun from 9AM-7PM with a 2 hour break mid-day. I chose this inconvenient spot because it gets the most sun on my property. I do see JDS' point about the Turkeys having small leaves and favoring the right side which happens to be pointing towards the sun. Additionally, there is no new growth on the old branches, just a ton of suckers sprouting from the pot. However, the other fig plants are in the same area only a foot away and are doing very well. Large leaves, a lot of new growth, and producing figs. To add to the mystery, I actually have 2 plants of this unknown BT variety. One in the large container and another in a 20 gallon. Both have the same issues of no fruit, no growth, small leaves. Something is going on with these 2. Additionally, the large 55 gallon container has a large sealed water reservoir at the bottom with 5 nylon cords for capillary action, it is closer to a 40 gallon container.
What's even more confusing is the Smith plant which I purchased mid last year from a reliable nursery is a foot away, has large healthy leaves and over 30 figs. My understanding was that Smith preferred a lot of sun and warmer climates than my zone 6B. I purchased this plant more as a test, not expecting to get results. I expected the Unknown-BT to take off like a weed. Even the Desert King cutting I received from DesMoinesWAfig and rooted over the winter is a foot away from the BT's, 6 feet tall with 1/2 dozen figs.
Examining the 2 Unk-BT's, both have no new growth on existing branches and small leaves, but only the one I up-potted has all the new suckers. I think they might have been root bound in the 20 gallon pots and went into a non-growth phase. The up-potted (55 gallon) may have awoken this summer to grow more roots at first and now is spending its energy on suckers. Maybe I'll get results next year if I prune the suckers and force it to grow its existing branches? Does this seem plausible to the experienced?
All-In-All, this is a fun hobby/experiment. It is somewhat inexpensive (As long as you're able to get containers). It is something I would have never thought to start without stumbling upon this forum. Thanks to all and I look forward to someday preparing a plate of figs with several varieties to taste and compare.