A birth of Michael P. McMahon - 10 October 1890 Hudson, New Jersey to Bernard McMahon and Ann Shields.
https://www.familysearch.org/ark:/61903/1:1:FCP7-RMG
A Michael McMahon with this birthdate died in November 1975. His last residence was Rockaway, Morris County, NJ
https://www.familysearch.org/ark:/61903/1:1:JGCP-ZZK-------
same birthdate
registered for the WWI Draft while living at 502 West 53rd, New York City
said was born Weehawken, NJ
had a wife and 2 children
https://www.familysearch.org/ark:/61903/1:1:7D6W-C4W2------
same birthdate
WWII Draft living at 6119 Monitor Place, Weehawken
born Weehawken October 10, 1890, wife Agnes, same address. works for the Erie Railroad
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1930 in Weehawken, NJ, with wife Agnes, son Bernard and others
https://www.familysearch.org/ark:/61903/1:1:X4X4-FFQ-------
1940 in Weehawken
https://www.familysearch.org/ark:/61903/1:1:K4RG-Y8C--------
son Bernard's Social Security Application says Bernard's parents were Michael McMahon and Agnes Wares
26 Apr 1912 Michael took out a marriage license to marry Agnes Wares in Manhattan (NYC)
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a tree on ancestry says that Bernard remarried a Bridget Smith after Annie Shields died and that this is them in 1900. Don't just go by familysearch's ages of the children. They are not correct.
https://www.familysearch.org/ark:/61903/1:1:M9JL-41P---------
Could this be Annie?
Died Feb, 1892, buried Holy Name Cemetery, Jersey City, Hudson County, NJ
https://www.findagrave.com/memorial/146532334/anna-mcmahonlast known child born 26 January 1892
is this the daughter?
Annie McMahon, daughter of Annie and Bernard, died in June 1892, age 0, same cemetery. - did he rename the child after his wife died?
https://www.familysearch.org/ark:/61903/1:1:7WFG-2BN2------------
the 1900 household has a daughter Katherine born in England in 1883. not Bridget's daughter.
I haven't find Katherine's birth. I didn't find Bernard and Annie Shield's marriage in freebmd or the Irish civil records.