First, even though that this song is about Hamilton and his affair with Maria, Burr is the one that starts off the song. why? well i'm glad you asked, here's my theory. So we all know that Hamilton isn't Burr's number one fan, so he opened up the song attempting to humiliate Hamilton because he's allowing Hamilton to talk about his own affair. how sweet. I especially liked the last line that he say's "I'll let him tell it," because he's allowing Hamilton, the original source tell his story and we all know that the story is better told from the original source, you can never tell it like the first person and that's what Burr is doing here. he is allowing Hamilton to tell his own story so you know it's going to be good because it's coming from him, but no it's not good, why? because it's a story about an affair! that's right!
Second, Hamilton is longing for Angelica? that's so weird. I mean angelica comes before his wife. he even says it in that order! "Longing for Angelica, Missing my wife." umm... shouldn't his first thought be about his wife and not about his wife's sister? that's what I thought as well, but no. Because he states this, that means that Angelica and Hamilton must've had a fling going on. And although the Maria one made more headlines for obvious reasons, I still think that he and Angelica still had a thing for each other but it just never made the news.