I think Hal made Alice have an abortion because he got her pregnant out of wedlock. That was certainly the impression that was given in Episode 9.
It's still possible that F.P. and Alice do have a mutual past in the Serpents, though.
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"Oh, brilliant" - Thirteenth Doctor
"Half an hour ago I was a white-haired scotsman." - Thirteenth Doctor
"I know exactly who I am. I’m The Doctor." - Thirteenth Doctor
"Two hearts. One happy. One sad." - Thirteenth Doctor
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