What does it mean when a girl sits next to you?

Anonymous
So I went to a club meeting and this pretty girl I don't know sat next to me even though there were plenty of other seats available but she sat next to me. She introduced herself to me and we chatted a little but my friend later sat next to me and we chatted while she was there quiet. My friend later asked me if I knew her and that she looked like she wanted to talk to me alone. Though I did notice when I saw her a couple times she would glance at me. 2nd meeting she came to sit next to me again and we began to chat a bit and her elbow was on my desk hitting my elbow as the desks were pretty close and my friend left me alone with her. Recent meeting she was next to me again but I didn't really talk to her though she had her feet facing my desk a bit hitting mine. I really wanted to tell her she looked nice but nervousness got me and remembering about the last girl I was interested didn't go well :/ Overall what does all this mean? Is she interested? I am just a bit nervous on what to talk about especially with beautiful girls.
What does it mean when a girl sits next to you?
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