Have you tried to get Anton's marriage record from either Smithfield or Lincoln.As it was recorded in both places he must have been living in one town and Charlotte in the other.Looks like his mother's maiden name is either Handstone or Haudstone?Maybe an actual copy will help.
All from familysearch.org.
Rhode Island, Marriages
groom Anton Wagner birth date: 1857birthplace: age: 27 bride's name: Charlotte Abigail Newman birth date: 1860 bride's age: 24 marriage date: 20 Oct 1884Lincoln, Providence, RI groom's fatherJohn Wagnermother: Haudstone bride's father'sAlonzo Newman indexing project (batch) number: I09434-8
groom Anton Wagner birth date: 1857 age: 27 bride's name: Charlotte Abigail Newman birth date: 1860age: 24 marriage date: 20 Oct 1884 marriage place: Smithfield Twp, Providence, RI groom's father John Wagnermother: Handstone bride's fatherAlonzo Newman
Rhode Island, Deaths and Burials
name: Anton Wagner Maleage 55 est birth date 1858 death21 Jul 1913 North Smithfield, Providence, RI father's name: John Wagner indexing project (batch) number: I09364-7
1870 CensusWestchester, Yonkers, NY https://familysearch.org/pal:/MM9.1.1/F8NQ-5MQ
Elizabeth Wagner F 56y Hesseabt 1814 Armenia Wagner F 19y abt 1851 Hesse Darmstadt Anton WagnerM 12y abt 1858 New York J B Weet M 25y Hanover Theodore Weet M 6m New York