David,
I would say the Frans mentioned in your first message, ie your great grandfather, is the one mentioned in the Worcester Kalendar, but I was under the impression that you were sure of him. If not, the family is according to the US Census 1900:
Massachusetts, Worcester, Worcester
Widegren, Frans head, white, male, born Nov 1855, 44 years old, married for 15 years, born in Sweden, Swedish parents, came to the US 1882, has been here for 17 years, Naturalized, blacksmith.
Augusta, wife, born May 1863,37 years old, married for 15 years, has given birth to 7 children of whom 4 are alive,born in Sweden, Swedish parents, came 1885, has been here for 14 yrs.
John P. son born Sept 1887, 12 yrs old, born in Mass, Swedish parents, at school.
Fanny G. daughter, born June 1894, 5yrs old, born in Mass, Swedish parents, at school.
Frank A. son, born Nov 1896, 3 yrs old, born in Mass, Swedish parents.
Axel W. son born Aug 1900, 9/12 yrs (something here must be wrong.The census is usually from the first part of the year, and anyway Aug 1900 and 9/12 yrs does not tally) born in Mass, Swedish parents.
I do hope this is your family!
The Frans on the Emibas is the son of your Frans? brother Anton. They were both born in Håverud, in Skållerud, Dalsland which is in the northernmost part of Älvsborg.
Karin