Svedberg born 1860 Jämtland

[K Yates]

Where would I find an Imigation from America  to Sweden after 1903.  
My grandfather Olof F Svedberg Persson born July 2 1860 Froso Parish Jamtland came to America 1882 Via Trondheim then returned to Jamtland..
 
The only record found was death rec May 11 1929 in Harke Jamtland.  Am trying to find where he was 1903 to 1919.  I donot find him in America  
 
his daughter told orphanage  her father & mother separated about 1903 and he returned to Sweden.  
 
Any help would be appreciated so much.  
 
K Yates

[Eivor Berndt]

This mail written by K Yates came into my mailbox today. I put it here, where she probably can get some help.
 
If I put it in the wrong place,you can put it where it belongs..