i can't think of once, not once, i heard anyone say "There She Falls" - never , not once, ever, ever, ever. not in relation to falling a tree.  in a bar...?
 i didn't "cater" to loggers ...you're assumption based on i am a woman?  i never stayed in a logging camp....they are kinda rare since gas engines and roads.... i've heard of one here -  way outside oakridge had friends put one together. but ... most likely elsewhere in alaska.  every crew had their lingo - i worked with gypsy crews...
 so,  yeah, i worked up on the ridges in the middle of nowhere. usually cutting standing dead wood..snags. i split DRY rounds with a splitting maul and wedges. up to 2+ feet across. popped those things apart - i was a surgeon.  'read the grain.   luke, use the force...' .  lol. i had a blast - met all kinds of locals and heard story after story. i was happy as a pig rolling in mud.  i especially enjoyed breaking up the coastal trees... lots of dry wood. ever chop that? smells good.