I think you did very well in this situation as well. I have been in a similar situation but it was on the phone at my workplace to someone who was 3000 miles away who was very distressed and making serious threats against herself.

I did a similar thing to you and tried to get her to call emergency services or an on call counsellor - we have "Lifeline" here in Australia who offer crisis assistance on the phone.

I never knew what happened to her as I never heard from her again.

Well done.

Regards,
Rosco.