It has been my experience with long tentacle anemones that they typically split when moved. From what I know about BTA's they are pretty much the same. It probably is a defense mechanism as a result of the stress of being moved and water changes. I have also read that they typically will split if there is a big change in water quality, such as a change in salinity. There is a lot of info out there on how toi propagate anemones.
I'd say that you got a two for one deal. Congrats! BTW, are we married to the same woman? It sure sounds like it...
Gary
Gary
125 SPS, 75 gal. LPS/softie reef, 9 gal. Nano