Did this family have two children named William? On the 1920 census, a William appears[1] On the 1930 census, Billy (born in 1920) and William (born in 1930) both appear. [2]
However, family members declare there were only 13 siblings. All 13 are accounted for via census, obits, and death records. Two "Williams" would make the count 14, but they do appear on the census together in 1930, so it's not the same person with an erroneous birth year in the census.
Sources
↑ "United States Census, 1920," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MF1D-QYC : accessed 30 January 2020), William M Johnston in household of William Johnston, Philadelphia Ward 18, Philadelphia, Pennsylvania, United States; citing ED 378, sheet 7B, line 54, family 164, NARA microfilm publication T625 (Washington D.C.: National Archives and Records Administration, 1992), roll 1624; FHL microfilm 1,821,624..
↑ "United States Census, 1930," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XH4L-1DT : accessed 30 January 2020), Billie Johnson in household of William Johnson, Philadelphia (Districts 0751-1000), Philadelphia, Pennsylvania, United States; citing enumeration district (ED) ED 824, sheet 11B, line 87, family 251, NARA microfilm publication T626 (Washington D.C.: National Archives and Records Administration, 2002), roll 2142; FHL microfilm 2,341,876.
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DNA Connections
It may be possible to confirm family relationships with William 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 William: