How do I "bump" into someone from my past without making it obvious that I wanted to see them again?

So there’s a girl that I meet about 10 years ago, I was 15-16 years old and she was 21-22 years old. She was a student teacher at my high school. I had the biggest crush on her then, but always figured it was just a high school crush. On the last day of school, she gave me a card and told me not to open it until I got on the bus…it was a little thank you note from her. Apparently she struggled getting through the day as a new student teacher in an inner city, very urban high school and wasn’t sure about becoming a teacher at points. She basically told me that befriending her and hanging out with her in the library during free periods or other things I did really helped her get through. She left me her email address and mailing address and said that she wanted to keep in touch.
I emailed her, but she either didn’t respond or didn’t get them…not sure. I bumped into her two years later at a wake for another teacher. She said she’d been meaning to write. We didn’t really talk much at the wake though, it was really not the time or place. She only told me that she was teaching in Boston now.
I still think about her all the time, I even googled her and found out that she is still teaching in Boston and seems to be doing really well. I even found a picture of her and when I saw it…I got that butterfly in the stomach, heart skipped a beat kind of feeling.
So…I really want to know, if I happened to "bump" into her, if there is any chance that we would reconnect and maybe more. So, how do you "bump" into someone like that without it being obvious that you really intended to see them?
She isn’t getting married and she doesn’t have kids!

I agree with above.