Hello again Georgina, in case you weren't aware, when you go to the Rotemansarkivet website click on the British flag icon in the upper right of the page since this will change the language to English. If you enter Alfred's birth date and just his first name, you should see five records for him in Stockholm. The earliest is 1879-1883 where he was living with his family and the latest was 1886-1891 because he emigrated 29 Sep 1891. In the Göteborgs Poliskammare archive on Arkiv Digital (EIX:46 (1891) image 1940 page 38) there is an "A Andersson" 26 years old from Stockholm who left 2 Oct 1891 (boat is not listed on the manifest) with destination Boston. On the familysearch website a 26 year old named "A Andersson" arrived in Boston 19 Oct 1891 on the SS Cephalonia, he was traveling to Rhode Island. The following records are also from Family Search, after coming to the US Alfred changed his name to "Amylon" which I'm sure you know was his mother's name.
Alfred Anderson Amylon, Rhode Island Marriages, 1724-1916
Name: Alfred Anderson Amylon
Event Type: Marriage Notice
Event Date: 28 Dec 1892
Event Place: Providence, Providence, Rhode Island, United States
Event Place (Original): Providence, Providence, Rhode Island, United States
Gender: Male
Age: 27
Birth Year (Estimated): 1865
Father's Name: Johan P. Anderson
Mother's Name: Elizabeth G. Amylon
Spouse's Name: Mary Louisa Eriksson
Spouse's Gender: Female
Spouse's Age: 38
Spouse's Birth Year (Estimated): 1854
Spouse's Father's Name: Gustav Eriksson
Spouse's Mother's Name: Mary Gustavson
Alfred Amylon, Rhode Island Deaths and Burials, 1802-1950
Name: Alfred Amylon
Event Type: Death
Event Date: 26 Apr 1906
Event Place: Hillsgrove, Warwick, Kent, Rhode Island, United States
Event Place (Original): Hillsgrove, Rhode Island, United States
Gender: Male
Age: 41
Birth Year (Estimated): 1865
Father's Name: John Anderson
Mother's Name: Elizabeth Anderson