Finally (and most importantly): Did she run the numbers about what that 1.25% might realistically be worth? She compared the offer to her current position and (without the equity) there's a ~$55,000 difference. That's a shit-ton! How much of an exit would Keen.io have to have in order for that to pay off if she's on a reduced income for, say, four years? She'd have to get a couple hundred grand off of that exit. Will her share of equity get her that?
Anyway. This isn't a negotiation. And she didn't fully run the numbers.
[Edit]
I also wrote up my experience negotiating with a start-up [http://auscillate.com/post/238]. I'm pretty naive about this stuff, but at least I attempted to answer some of the issues of the value of equity.