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So, I think Erik Nilsson had another daughter (Martha) who was born much earlier (1734). Maybe Erik Nilsson was married before. There were no birth records in Vigåsa that fit around 1734. But, there was a birth record in Vrå in 1732 for a Martha born to an Eric and Kiersten in Ljushult, Vrå (if I'm reading the place correctly):I think you are on the right track!
https://app.arkivdigital.se/volume/v29940?image=46 (https://app.arkivdigital.se/volume/v29940?image=46)
Vrå-G-C-1-1701-1823-Image-46-Page-83.jpg
Ljushult, Vrå was where Erik Nilsson and Segrid's first daughter, also named Kiersten, was born. So, it's possible. I still need to "prove" the connection to Erik Nilsson but think I'm on the right track.