The unknown tree you got growing is a mulberry.
Here's some photos of brebas on one of my figs Lebanese Red. The main crop appears after a few leaves had developed.
I hope this helps.
Bass

Bass

Mulberry? Like the bush? Like little long blackberrish berries? What they heck?! How did that get in my fig pot!? Or is there a such thing as a mulberry fig? Crap, Im irritated. Where is my Peters honey!!?

Thanks for the pics Bass. I have my fingers crossed and will be looking out for those little nubs!

Oh, and when you say "The main crop appears after a few leaves had developed" is this with all figs? Or just that particular type? If I get no sign of them at that point, does this mean Im out of luck until maybe next year?

~M

This is for all figs.
I would repot these figs into a larger container with a good potting soil. You can find different recipes for a soil mix on this forum. I would also add a slow release fertilizer. Most likely you will get figs this year.

Bass

Look its miracle!!! Figs growing on a mulberry tree!!!lol

Bass, I have(7gallon) pots ready and plan on doing that this week. When I add soil should I mix the fertilizer thoroughly then repot? Or add it just to the top layer? As far as good soil goes, I have organic miracle grow for fruits/veggies that I already have handy. Is this ok, or not good for figs?
Thanks so much for all your advice and help!

You can mix the fertilizer with the soil, or at least apply to the top 2". There's a whole thread on fertilizer for fig tree. What I use is 18-6-12, and it works great.

Bass

Here is a link that might be useful: Trees of joy

All done! Ill post any progress in a month :-)