I've scoured everything I can find and hopefully someone will entertain a newbie question.   I purchased this tree 4 or so years ago and it was labeled either Brown Turkey or Celeste (don't recall which but those are the only two ever purchased).  Obivously it is neither.  
This is the first year a crop has survived.  Hopefully the pictures will suffice.  If not I can try and answer any questions. 
Thanks in advance for any information!

It looks very interesting though.  How does it taste?  Whatever it is, I imagine it's better than either BT or Celeste.

How is the flavor?  Looks similar to Atreano or the likes.

I'm just taking a guess, because I'm not sure about the leaves.  But it looks like a conadria.  I'm sure some of the more knowledgeable folks on here will tell me that I am way off though.

It is much more flavorful than a BT or Celeste and has almost a tartness (for lack of a better term, you'll have to excuse my unrefined palate) unless almost over ripe, at which point it is signifcantly sweeter than either of those with an almost honey like note.  Obviously all of that is VERY subjective, someone else might describe them completely differently.  I'm glad to have it though in that the color, at least here, appears to fool the birds and unlike the brown figs, they don't touch them. :) 
From the pics I see online it doesn't appear to be conadria but then as usual, some of the pics contradict each other substantially a few do look very similar. 
Thanks for any continuing info!

LSU GOLD would be my guess, my favorite yellow fig.  I don't know where you are but if you are in Louisiana you are close to the expertise.

Given my username, I do wish it was that (and may pretend it is if I don't get a definitive answer), :) but mine have no blushing. I'm in the north Atlanta burbs.