I agree with this. Also, it sounds like you think highly of her so the comment I'm about to make will be one that you will probably disregard, but you shouldn't.
She already lied about being involved, which speaks volumes on her character and moral build up. You sound like a nice guy. She is not a nice girl. If you give her a gift like this it sends a very clear message that she can take advantage of you and, in all likely hood, get you to do things/buy things for her by simply batting her eyes. Don't do it! Dangerous path.
I say this as a nice girl, myselfI know what I'm talking about. I also work in a psychology office. Lol.
This!