It's been a long time, but every once in a while I would chip away at this one, and for the record, here's what I found about the placement of the orphaned children. With a lot of the words filled in, and the foster parents identified, maybe someone can fill in the rest. I also include a more legible image.
Line 1 (Peter, age 13) Når Olof i Sand/leden? i Öglunda i … S...?
“Olof” was Olof Vallström (b 15 May 1758), a tenant farmer (torpare). [Öglunda husförhörslängd 1786-92, p 21 (Sandgraf)]
inserted line ... d 2.. 1792
Line 2 (Anders, age 10) Når Skomak. Jan på Ingelstorp ... i Wättlösa
“Skomak. Jan” was Jan Larsson, a tenant farmer at Ingelstorp in Vättlösa. He must also have been a shoemaker. He and his wife appear in the tax rolls from 1792 to 1797. [Skaraborg tax records (landskontor version), p 1287]
A Jan Larsson died in Vättlösa Parish at Anders Bengtsgården on 24 Feb 1801, leaving a widow named Ebba Ullricksdotter. [Kinne härad probate 1801-04, p 233] It is unclear whether it is the same Jan Larsson.
Line 3 (Bolla, age 8] Når Herr Sei… Venerbom
”Venerbom” was Johan Venerbom (b 15 Aug 1759), an army muster clerk (mönsterskrivare), with a wife named Johanna Bredberg. [Lerdala husförhörslängd 1786-96, p 39 (Bruket)]
Line 4 (Maria, age 6) Når Baronessa på Sparrsäter …
Heading the Sparrsäter estate in 1790 was the “Baronessa,” Friherrinna Metta Reenstierna (b 14 Apr 1718). Her late husband was Gustaf Adolf Fleetwood. Her son Harald Georg Fleetwood was later baron at Lilla Bjurum. Family tree. [Lerdala husförhörslängd, 1786-96, p 12 (Sparrsäter)]
Line 5 (Gabriel, age 2) … Torparen Lars Larsson, wid L. Biu-
Line 6 rum i Wättlösa sokn (i början af)? Juni 1790
“Torpare Lars Larsson” is not found in the tax records at Lilla Bjurum in 1792 (the only year that lists surnames and patronymics), but he may be recorded elsewhere in the parish. Heading the Lilla Bjurum estate until 1793 was Ryttmästare Arfvid Gabriel Strömhielm (b 2 Dec 1743). [Skaraborgs län tax, 1790, p 1092 (Vättlösa)] Lilla Bjurum was later owned by Harald Georg Fleetwood, son of Metta Reenstierna.
Line 7 … om ni alder
Line 8 …. wigde? d. 7 Juni 1792