Hemmesdal/Hemesdal vs. Hemsedal? I think the latter is the correct spelling.
This appears to be widow Jøran Aslachsdatter and her children (including daughter Elie, age 5) in the 1801 Hemsedals, Næss, Buskerud census:http://digitalarkivet.no/cgi-win/webcens.exe?slag=visbase&am...www.familysearch.org
shows this baptism:
Name: Aslach Olesen
Event Date: 02 Jun 1799
Event Place: Nes i Hallingdal, Buskerud, Norway
Father's Name: Ole Olsen
Mother's Name: Joran Aslachsdr
Indexing Project (Batch) Number: C39710-7
System Origin: Norway-EASy
GS Film number: 123840
I wonder where Aslach was in the 1801 census? Or did he die young?
Lykke til! (Good luck!)