Help finding someone online that I met please?

[Francisco]

I came on a flight from santiago to sydney on a flight from Lanchile LA801 and in that flight I met a very nice and frindly girl who was from ecuador and she was living in argentina. I want to find her to keep in touch and know how she is going with her trip to Australia. I had tried looking for every detail that I know of her I forgot her two surnames and I just can remember her first and second name
(sometimes poeple with that name (FOR EXAMPLE FRANCISCA) are called different (EXAMPLE FRAN so that makes it a bit harder to find)
I cannot find her anywhere I've tried looking for her on google by searching her name and details of her but I havent find anything.
Could someone tell me a way to contact people by using information of them and the first names?
I tought on calling the airline but then I thought that they would not tell me her name for security reasons.
The sad thing is that we gave our names on facebook but I had my settings in rpivate so she was not able t find me even if she had my full name.
I had her name too but the piece of plastic where I wrote it broke
could some one help me please
I really feel that I want to find her please