What does "carry away" mean?

Native speaker’s answer
Rebecca
If you get "carried away" with something, means to get excited about or consumed with something to the point where you struggle to control your behaviour, often being excessive about that one thing than what may be necessary. So here, she's saying that she's getting carried away by her thoughts and feelings in this song. Although here, it also functions as a pun since the river is "carrying them away" in their boat - they are floating in the stream and they can't control where they are going. Ex: The river is carrying us down to the riverbank. Ex: I'm sorry, I got carried away with all the party planning. I'm just really looking forward to this party! Ex: Jane's getting carried away with her feelings about John. She's not being rational.