Hi again, I have been looking at Ellis Island site and nothing yet for our Caroline or for Paul.
"Pauli Albin Börjesson. He emigrated from Båstad 24 Nov 1904 and he was born 25 Aug 1880, just like the one Caroline married."
I want to be sure I am clear. "Our" Caroline is the Caroline in the birth record in Sweden. Her brother had a note in 1954 that said she was "Caroline Burgess." We do not know who she married.
The 1915 marriage record Lena found for Caroline Nelson and Paul Burgeson in Brockton, Plymouth, Masschusetts had Caroline's father as Nils P. Nelson and mother as "Elna Burgeson." (Lena did not have the original record; she had only the transcription online).
"Our" Caroline has a father Nils and mother Elna, but Lena says the parents are Nils P. Hansson and Elna something else.
So...it's not sure that "our" Caroline married that Paul.
Since they both came from Baastad, that makes it seem more likely to be correct.