Could this be whom you are looking for??It looks like he married someone who had a son previously... an Irish lady.
I am not related to this family - this is part of a transcription project.Copies of death records (1853-1955) are available from the RI State Archives.
St. Francis (Catholic) Cemetery, Pawtucket, RI Section 15
# 140RAMSDEN William H. Ramsden, d. May 22, 1891 his wife Bridget, d. Aug. 12, 1912 Juliette Ramsden, d. Apr. 11, 1884 Ellen Campbell, d. Sept. 10, 1887 James K. Lindsay, d. 1908
Extract: 1880 United States Census Census Place: Providence, Providence, Rhode Island Source: FHL Film 1255212; National Archives Film T9-1212; Page 46A Household:RelSexMarr Race Age Birthplace William H. RAMSDENSelfMaleMW51ENG Occ: Fruit DealerFa: ENG Mo: ENG Bridget RAMSDENWifeFemale MW50IRE Occ: Keeping HouseFa: IRE Mo: IRE Etta W. RAMSDENDauFemale SW18RI Occ: At SchoolFa: ENG Mo: IRE Anastatia M. RAMSDENDauFemale SW18RI Occ: At HomeFa: ENG Mo: IRE James A. LINDSEYSSonMaleMW28MA Occ: Works In Jewelry ShopFa: SCOT Mo: IRE