Hi Scott,
In this birth record it says that her parents were living in Åby, so looking at the 1723-1750 HFL you van find the family at GID: 2241.40.91800, page 369. This census record is really hard to read but you can clearly see that it is Pär Håkansson and his wife Margareta.
If you look at the 1751-1762 HFL at GID: 2241.49.26600, page 290 you can see info for the whole family, make note of the wrong date noted for Maria.
Have a nice day!
Don