Murray went on to marry Cora Edna Hornaday (1889-1966) on 23 August 1910 in Tulsa, Oklahoma.
[2] In 1933 he founded the Me-Tex Supply Company with his son James Jr.
[3] Murray ran as a candidate for the 1938 New Mexico lieutenant gubernatorial election, and secured the Democratic nomination.
In July 1940, Murray was a delegate to Democratic National Convention from New Mexico in Chicago, Illinois.
Murray's term as Lieutenant Governor ended on 1 January 1941.