No. Definitely not normal.

Whenever I'm looking for any decision maker or someone within an Org I run searches on:
- LinkedIn
- Jigsaw
- Facebook
- And this custom Twitter search:
https://www.google.com/cse/home?cx=009322503760953579526:mkmi-joixn4

Go with the company you're most passionate about and you'll make a living or more.

I wouldn't do B just because you think there's some pot of gold at the end of the rainbow. Your health and sanity isn't worth that trek, especially if you having some else you love.