During his time with Everton his teammates, apart from Farrell, also included Alex Stevenson, Peter Corr, Harry Catterick, Wally Fielding, Tommy E. Jones, and Dave Hickson.

On 27 September 1952, he scored 5 of these goals in just one game at Goodison Park against Doncaster Rovers, helping Everton to a 7–1 win.

He spent two seasons at Hibs and helped them reach the 1963 FAI Cup final where they lost 2–0 to Shelbourne.

[6] When Eglington began his international career in 1946 there were, in effect, two Ireland teams, chosen by two rival associations.

He captained the FAI XI during the qualifying rounds for the 1954 FIFA World Cup and, during the same competition, he scored his second goal in a 4–0 win against Luxembourg on 28 October 1953.

Together with Johnny Carey, Con Martin, Bill Gorman, Peter Farrell, Alex Stevenson and Davy Walsh, he was one of seven players born in the Irish Free State to play for the IFA XI that day.

Eglington also helped the IFA XI gain some other respectable results, including a 2–0 win against Scotland on 4 October 1947, and a 2–2 draw with England at Goodison Park on 5 November 1947.

[9] Eglington also ran a butcher's shop outside St. Gabriel's Church in Clontarf, Dublin for many years after his retirement.