You get up, walk to the men's room [which is hopefully near by] and remain in the area in a way that makes it appear that you are leaving the men's room [look like you just finished drying your hands] as she is leaving the lady's room.
When she leaves the Lady's room say hello to her in a polite and confident manner. IF she stops, and only if she stops, to engage you. 1) if you have a little time and our out of eye sight of the others you and she came with than ask her name and make a little small talk first. If she doesn't want to cut and run than tell her you couldn't help but notice her and you feel a bit strange about asking under the circumstances but you just have to, and you understand if she can't comply, but does she feel comfortable giving you her phone number [even better, offer her yours] so that you might meet for a cup of coffee in a public place of her choice later that night, or the next day. 2) if time is short because you both are in line of site of those you came with tell her you usually aren't so bold, and please except this as the compliment it is intended as, but you couldn't help but notice her and if she was even remotely interested would she mind seeing you for coffee... yadda, yadda.
The worst she can say is no.
When she leaves the Lady's room say hello to her in a polite and confident manner. IF she stops, and only if she stops, to engage you. 1) if you have a little time and our out of eye sight of the others you and she came with than ask her name and make a little small talk first. If she doesn't want to cut and run than tell her you couldn't help but notice her and you feel a bit strange about asking under the circumstances but you just have to, and you understand if she can't comply, but does she feel comfortable giving you her phone number [even better, offer her yours] so that you might meet for a cup of coffee in a public place of her choice later that night, or the next day. 2) if time is short because you both are in line of site of those you came with tell her you usually aren't so bold, and please except this as the compliment it is intended as, but you couldn't help but notice her and if she was even remotely interested would she mind seeing you for coffee... yadda, yadda.
The worst she can say is no.
seriously...I would have been at a loss here as to what to do in this circumstance...just more proof that some of the info developed in this Forum is quite useful indeed.
the strategy you proposed reminds me of the phrase "Snatching victory from the almost certain jaws of defeat" !!
Cool post!