I have no connection to this family.Saw your query and did some searching.This is what I have found:
1920 United States Federal Census about Charles A Munson Name: Charles A Munson Home in 1920: Mabton, Yakima, Washington Age: 60 years Estimated birth year: abt 1860 Birthplace: Sweden Relation to Head of House: Head Spouse's name: Annie M Father's Birth Place: Sweden Mother's Birth Place: Sweden Marital Status: Married Race: White Sex: Male Home owned: Own Year of Immigration: 1880 Able to read: Yes Able to Write: Yes
Household Members: Name Age Charles A Munson 60 Annie M Munson 50 Annie E Munson 16 Alfred D Munson 2 Samuel T Lindahl 4 Lodger, b. Sweden
I would suggest you get their marriage certificate - it should show his parents' names on it.The Swedes often had 3 or more 'first names' - my grandfather had 3 but used only one of them and then "Americanized" it.
Hope this helps.I could not find him with first name "Charles" on any ship manifests.
Regards, Susan Nass Random Acts of Genealogical Kindness