Is this common shy behaviour from a shy girl who has a crush on someone?

Shortly put:

There’s a girl I know at college who’s defo shy and probably doesn’t have much confidence but she has been smiling and waving at me when I see her.

I’ve spoken to her a few times recently and she was quiet at first but opened up and talked with me quite well. Asking questions and such, appearing nervous and quite stiff in posture. However, the last time I spoke to her, the conversation was fairly one-sided. It felt like I was doing all the talking. She did answer my questions though, albeit, quite frankly and short. She did say a couple things out of the blue after some awkward silence but this conversation wasn’t anything like the last few. She barely laughed at my jokes either but she still smiled at me when she saw me and made a joking remark regarding someone else before this conversation.
The literal day before she was really talkative.

She didn’t even say ‘bye/see you later’. Just walked off without me as we were both leaving the same way.

I saw her at dinner the same day and I swear I caught her looking at me from the distance a couple of times but it was so far away, I’m unsure.

One time shortly before I actually approached her, she saw me walk into the room we were in, turned around and smiled and waved and looked straight back down. I sat across from her on the other table, which was in her view, and when I looked up after sitting, she had turned her whole body the complete opposite way. 🤔

Is this common shy behaviour?

Thank you in advance!

I’d also like to note that she tried talking to me a few times before Christmas, but I wasn’t mentally aware of her too much back then so I was quite abrupt with my responses. Only just started speaking recently after catching her smiling/waving at me and saying ‘hello’ to my quite loudly and happily when she’s with her friend.

My mother was shy when younger and seems to reckon this girl likes me when I explained to her in messages.
Is this common shy behaviour from a shy girl who has a crush on someone?
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