I do remember those books, I devoured them all as a child. (Figuratively, of course!)
I do recall that teachers of the time had to abide by very strict moral codes. I seem to recall reading in one set of rules for teachers that the teacher had to be single, and not courting. Once she showed an interest in men, her career was over.
Yes, it was a position reserved for young women ages 14-17 or so, and the citizens were very protective of their kids AND the teachers. Far cry from now.
I loved those books as a kid, then again as a newly married bride living high in the Rockies in a mining town. I read through the Childrens’ Books that summer - and cooked for the crew - while my new husband was doing geological exploration.
I have visited several of the LH sites too. LH in the Big Woods is not far south of Minneapolis. There is a cabin there, recreated - TINY as all get-out. It is near the Mississippi River where it widens to a lake.