Career
After an apprenticeship at Manchester United the same time as Johnny Giles he returned home to play for Home Farm F.C. In August 1959 he signed for Cork Hibernians. He joined Shamrock Rovers F.C. in 1960 and as a striker was top scorer in the on two occasions, 1961-1962 and 1963-1964.
On the 20th of August 1962 Bailham scored his only headed goal for the Hoops in a 5-5 draw against Drumcondra F.C. In February 1963 he scored four times as Rovers hammered Bohemian F.C. 7-1 at Glenmalure Park. Played 5 times in European competition for the Milltown club
Scored 49 league and 12 FAI Cup goals in the Hoops.
Eddie had a "glorious representative debut" scoring for the XI in the 2-1 defeat of an English League XI in October 1963 He scored 4 goals in 4 total Inter-League appearances between 1962 and 1964. Scored a hat-trick in his last game for the Hoops on the 27th of September 1964.
Emigrated to London shortly after but as he was still technically a Shamrock Rovers player he could not sign for an English league team So he joined Cambridge City F.C. and also had spells at Worcester F.C. and Wimbledon F.C. He was the Southern League Premier Division top scorer in 1965-1966 with 37 goals.