Flirting

Potentially married woman keeps looking and smiling at me... not sure what she wants me to do, or how to proceed?

I teach at a music studio and there's this like 30 year old lady who takes her kids here (but I'm not their teacher)... we've never really talked (no reason to, yet). Last time, I noticed her looking across the room at me and she started to smile at me and stuff, and got the strong vibe she was "hitting" on me. I let it go...

This week when she came in, she was IMMEDIATELY looking at me and she was smiling at me and I said "hello" to her and she said "hi" sweetly back before taking her kids into the studio... caught her looking at me a couple times.

So now, I am QUITE certain there's something there. However, I'm not sure how to proceed - I don't know if she's married (though I would still do something) and not sure what she wants me to do or how I should proceed? Like if I were to do something or give her my number, how to do so (at work)?
Potentially married woman keeps looking and smiling at me... not sure what she wants me to do, or how to proceed?
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