That's automatic 60 days on arrival n furthermore your e online arrival card u apply online will say 60 days which is required just like in singapore.u gd to go
U can call the US Embassy n let them know that u n your gf both be flying america for someone's medical emergency n provide the proof perhaps they can expedite your waiting time for an interview
It's 60 days on arrival n another extension of 30 days only not another 60 days.total for the year is 180 days allowed for the visa free exempt countries