He was the son of Michael J. Kelly (c.1854–1926) who was Assistant Corporation Counsel of New York City for 22 years.
He attended Immaculate Conception School in East 14th Street, in Manhattan.
He was a member of the New York State Senate (16th D.) in 1920, elected to fill the vacancy caused by the resignation of James A. Foley.
Kelly was a justice of the New York City Court of Special Sessions from December 1923 to June 1929.
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