I don't think it is quite right. It should be 'wore on'. 'wore on' means 'progressed', but has an implication that it went slowly and possibly a little painfully. In other words, it went slowly, and not so well at first, then she started to enjoy it. It's meaning 7 at https://www.thefreedictionary.com/wore

"Worn on" in this sentence, means that the time passed. It began to get later and later, and it gives the feeling that it was long. This word "worn" should, however, be changed to "wore" because "wore" is the simple past. "Worn" requires a "has or had". Maybe this is from an older piece of literature, but we wouldn't use "worn". You would probably hear, "As the evening wore on".