That's definitely promising. Here's the key piece of advice: be yourself, but a little better. If she's interested, she's interested because of who you are. Work to be a little more mindful of her, but don't do something you wouldn't do.

Focus on having a good time at the tavern, and her having a good time. You can ask her if she's interested if you'd like, or after we can go over what happened and I can try to help you see.