On 12 June, having spent three years at Liverpool and missing only six matches, 29-year-old goalkeeper Tommy Younger was allowed to leave to take on a player-manager role at Scottish Second Division side Falkirk.
Slater had made 134 appearances for Falkirk, winning a Scottish Cup winners medal in the process, before the club were relegated at the end of the 1958-59 season.
There were promotions to the first-team for local-born 22-year-old defender John Nicholson and 18-year-old inside forward Willie Carlin - the latter a promising youngster who had represented his country at schoolboy and youth levels; 19-year-old full back Alan Jones, a Welsh schoolboy international who had signed professional forms for Liverpool two years earlier; Wrexham-born forward Reginald Blore who had risen through the junior ranks at Anfield; 17-year-old midfielder Ian Callaghan from Toxteth, considered by Liverpool legend Billy Liddell to be his successor; and 20-year-old striker Roger Hunt, signed a year earlier by Phil Taylor when he was brought to his attention playing for Stockton Heath.
The early stages of the campaign saw Liverpool struggle for consistency, putting manager Phil Taylor under increasing pressure after his previous three seasons in charge had all resulted in narrow failures to achieve promotion.
The situation further deteriorated when Liverpool failed to win a single match in October, and while a victory over Aston Villa at the start of November gave hope that the club might have turned the corner, it was followed by a humiliating 4-2 loss to strugglers Lincoln City.