Okay I'm just going to say that Elams kind of freaks me out. How would a relationship between Eliza, Alexander, and John Laurens work? I honestly don't know. It is definitely not canon in the fandom.
The only real thing that could possibly and this is a big possibly link it to real life is the fact that Alexander invited Laurens to a threesome on his wedding night.
Also for this ship to work out, the ship; Lauriza would have to be true. In real live Eliza Hamilton probably never even met John Laurens. So the probability both in fandom and in real life is zero.
Sorry that this is short but that's all I know to say about it.
Here's an awesome gif:
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Hamilton Ships
FanfictionThis is a book discussing all of the Hamilton ships and there probability both in history and in fandom. And also explaining them.