Provided the inverter is in good working order, buy it. According to the specs the charge voltage is adjustable so the 14.4V isn't an issue.
Quote:
Inverter OFF 60 ma 60 ma
Inverter ON in Load Demand Mode 160 ma 160 ma
Inverter ON - Load Demand OFF 1.8 amps
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It draws 60mils OFF and 160mils in standby, that's not bad.
I would definitely test it before you give her any money. I can't imagine anyone "forgetting" to take it with them, unless they didn't know what it was.