Nah, in the comics after Zuko becomes "Firelord" she breaks up with him again because he was speaking to his father (I think that was why, someone can correct me on that)
Yes, she made a deal with a spirit to change her face and memories so she could forget about the fire nation and her family and stay hidden. When she met Zuko they went to the same spirit and she got her face and memories back and the new family + his mother came with him to the fire nation.
After Zuko's Mom flees the capital, she meets with an old friend back in her old home village and falls in love with him. in order to remain hidden from the fire lord, she meets with a spirit who offers to make her a new face at the cost of all her memories of her old family (Zuko, Azula, etc). She agrees and has a daughter with the new dude.
Am I the only one who actually wanted to see those 2 get together. She actually made Zuko happy at a time where he felt like he was going to become nothing. It was nice