First of all, I'd like to say how much I appreciate a page citation. It makes rules answers so much easier (and more likely to come). So, thank you!
That being said, here's the rule in question:
Give ally 1 Edge: You do something that
offers an advantage for another member
of your team. Take away two of your own
Edge, and give one to a teammate.
I'd like to think that if the intent were B from the original post, then it would have said something like "Discard two of your own Edge, then give another remaining Edge to a teammate."
However, something I've learned since joining Errata is there's no water held in the "if it meant one thing, then it would have said something else" argument.
All I have to go on is what I guess the writer meant. And in my judgement/experience, I presume the intention is you gather up 2 edge from your available pool... and of those two you pulled out one goes to the teammate and one is discarded. That is, I think A from the original post is what's the intent here.