>>> So the one in the picture with the narrow lobes are they BT's or Verns BT?
From my earlier leaf comparison, it is not a Vern'sBT, and may not even be a BT!
Also, definitely it is not a Brunswick (I have 3 variations of that too!).
Additional info:
Almost 20 years ago I bought my 1st 3 figs from different unkown
commercial vendors (catalogs). Two as a BT and a TE each.
The BT and TE ended up being the same thing (probably both came
from the same initial baby-nursery), and since then I lost track
which was which. There is an "everbearing" in both, since I recall
new fruit kept coming up till frost; unlike more recently
acquired BTs. There are hundreds of BTs, usually with broader
leaves. TE and BT are synonyms fig names.