Batter Hit By Throw while running out of three foot zone.

[urgone]

I was going to ask this question in another thread but I'll just add it on here.
I gave a presentation at a winter baseball clinic recently on the running lane. I used alot of the material in Carl Childress(my personal umpiring hero) 2004
book The Usual Suspects. That material talks about the running lane being created in 1882 and that at the time the foul line ran directly through the middle of both first & third base.
Two questions for someone who has the knowledge:
1) When was the foul line(actually fair line) moved to the edge of the base?
2) When they did that did they compensate for the 90 degree angle at home
and move second to keep the diamond a perfect square?