This is another source of Beata's relation with the king Fredrik I, https://digital.ub.umu.se/relation/340065
which gives a quite detailed account of how the king made her his secret(?) girlfriend. This is supposed to be 1745 as I understand it.
The reference is to the "priest's daughter Beata Christiernin".
Then I agree that the timeline is a bit strange. E.g. if she had children 1741, 1742 and 1743 and how could she move in to the castle as is suggested?
Is there another priest's daughter Beata Christiernin from about same time?