I'm assuming this is the household of Johan Ahlback and Catherina Nagel (born 1733). Would appreciate help reading the names of other household members. Tack!
If you look at the next communion book, Anders Matsson and Margareta Jacobsdotter seem to have been a separate family, with Anders renting the farm. The word “son” is a bit odd there inbetween, but it could mean a son of the Ahlbäcks who was confirmed near the end of the period of the book, but for whom there was no space.
Then is J: Catharina Maria Ahlbäck; the J is probably for Jungfru (miss).
You have to, of course, check those from original church books. But sometimes it is good to have some tips where to search and check.
There is also a book, which tells about Ahlbäck-family but I think it is printed only in Finnish. Maybe there is also persons what You are searching for.
https://books.google.fi/books/about/Ahl ... edir_esc=y