He rejoined the VFL in 1946 and umpired six Grand Finals (including both in 1948 when Essendon and Melbourne tied the first match).
After retiring from VFL umpiring, Jack Jnr decided in 1956 to accept appointment to the Tasmanian Football League (TFL) umpire coaching role after an offer to take up either Perth or Hobart positions.
However, he continued as Coach of TFL Umpire Association from 1956 to 1967 and a second stint from 1971–1974 inclusive.
Additionally, McMurray continued to serve football as Member of the TFLUA Umpire Appointment Board from 1956 to 1978, TFLUA Chairman of Board from 1975 through 1978, and as a member of the Southern Tasmanian High School Football Association; he was made a life member of TFLUA.
This Australian rules football biography of a person born in 1915 is a stub.