Mulraney was born in Wishaw, North Lanarkshire. He was a small man of slight build, with considerable pace and trickery, whose preferred position was outside right, but he was also capable of playing on the left wing. He began his football career with junior clubs Wishaw White Rose and Carluke Rovers, and had a trial for Scotland schoolboys, before joining Celtic in 1933. Unable to break into the first team at Celtic, he had trials at a variety of clubs both within Scotland and outside it before moving to England to join Southern LeagueDartford in 1935. A year later he moved to Ipswich Town, then also in the Southern League, and helped them win the 1936–37 championship. The following season Ipswich finished third in the Southern League and successfully applied for election to the Football League, where they were placed in the Third Division South. Mulraney was only able to play one full league season for Ipswich before the Second World War intervened. He scored their first ever away goal in the Football League, the only goal of the game at Walsall in August 1938, and their first ever Football League hat-trick, in the 4–0 win over Bristol City on 8 April 1939. Mulraney served in the Royal Air Force during the war as a PT Instructor, reaching the rank of Flight Sergeant. His military service did not prevent him playing in the wartime football competitions, in which he made guest appearances for no fewer than twelve clubs. From the 1943–44 season onwards he was able to play regularly for Birmingham City, for whom he scored 41 goals in 118 appearances in wartime football. On demobilisation from the RAF in October 1945, he joined the club permanently for a fee of £3,750. That season he contributed to the club winning the championship of the Football League South and scored seven goals in their run to the semi-final of the first post-war FA Cup. In July 1947 he joined Shrewsbury Town, with whom he won a Midland League championship medal, and a year later joined Southern League Kidderminster Harriers. Two months later, in September 1948, he signed for First Division Aston Villa, where he ended his Football League career. He then tried his hand at management with Cradley Heath in the Birmingham & District League, where he had three years as player-manager, and in 1952 with Birmingham & District League champions Brierley Hill Alliance. Mulraney suffered a heart attack in 1968 from which he recovered. He settled in Kinver, Staffordshire, where he died in December 2001.
