Boy oh boy, were we playing some of the phases and rules wrong.
This is the problem with playing the game with someone teaching you the rules without having a chance to really read the rules yourself.
You take what they are saying on faith.
And we were getting FUBAR'd by Ancient Ones left and right for it.
I have since re-read the rules, and those of us addicted to AH have played a round or two each in single player to make sure we caught all the little If/Then rules paragraphs in the back of the instructions.
We all feel much better about the game, and I made a phase cheatsheet so that in the future, the horrors from beyond space and time have the bone gnawing advantages they are supposed to, without us pouring gravy and giblets on ourselves first.
PS: In retribution, we slapped down Yig in a followup round. Hard.
The cheat sheet should now be attached.