Found three sources citing Sarah as his wife. None citing Ada.
"New York, New York City Municipal Deaths, 1795-1949," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:2W6T-3M4 : 10 February 2018), Edwin Briggs, 14 Jun 1897; citing Death, Manhattan, New York, New York, United States, New York Municipal Archives, New York; FHL microfilm 1,322,930.
"United States Census, 1870", database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M82Q-NR6 : 18 March 2020), Sarah Briggs in entry for Edwin Briggs, 1870.
Edwin Briggs Male 49 New York Sarah Briggs Female 41 New York Matilda Briggs Female 20 New York James Briggs Male 14 New York Anna Briggs Female 11 New York George Briggs Male 1 New York
Marriage of son - "New York, New York City Marriage Records, 1829-1940," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:24WW-53J : 10 February 2018), Sarah M. Starr in entry for George Edwin Briggs and Myra Murray Santer, 17 Mar 1921; citing Marriage, Manhattan, New York, New York, United States, New York City Municipal Archives, New York; FHL microfilm 1,653,130.
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It may be possible to confirm family relationships with Edwin by comparing test results with other carriers of his ancestors' Y-chromosome or mitochondrial DNA.
However, there are no known yDNA or mtDNA test-takers in his direct paternal or maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Edwin: