Rimmer was born in Birkenhead on 2 January 1907, he played as an amateur for Parkside, Northern Nomads and Whitchurch before signing as a professional for Tranmere Rovers as a 17-year-old in 1924. In his three seasons with Tranmere, Rimmer played briefly with football legends Dixie Dean and Tom 'Pongo' Waring, making 62 league appearances and scoring 20 goals. His good form alerted other clubs and in February 1928 he was signed by Sheffield Wednesday manager Bob Brown for a fee of £3,000.
Sheffield Wednesday
Sheffield Wednesday were in a grave situation when Rimmer signed for them, they were seven points adrift at the foot of Division One. However Rimmer, who made his Wednesday debut on 25 February 1928 against Newcastle United, was to take part in what has gone down in Sheffield Wednesday history as the "Great Escape" as they picked up 17 points from a possible 20 in their last 10 matches to avoid relegation by a single point. The following two seasons saw Wednesday transformed from relegation strugglers to league winners as they lifted the Division One title in 1928–29 and 1929–30 with Rimmer a virtual ever present on the left wing. He played in Sheffield Wednesday's 2–1 defeat by Arsenal in the Charity Shield at Stamford Bridge in October 1930. In April 1930 he was called up by England for his first international cap, scoring twice in a 5–2 victory over Scotland in the 1930 British Home Championship. Three other Wednesday players Bill Marsden, Alf Strange and Ernie Blenkinsop all played in that match. Rimmer played a further three international matches, his last being just before his 25th birthday in December 1931 against Spain. The first two full seasons of the 1930s saw Rimmer net 24 and 23 goals respectively, an excellent effort for a winger whose main job was to provide chances for other players. The 1934–35 season was probably his most memorable as Wednesday lifted the FA Cup with Rimmer netting two late goals in the final against West Bromwich Albion. He scored eight FA Cup goals in total that season and achieved the rare feat of scoring in every round, only twelve players have managed this in the history of English football. He also scored 18 league goals to give him a best ever season tally of 26 and finished as Wednesday's top scorer. He continued to be a regular for Wednesday until March 1938 when Bill Fallon took his place on the left wing. In his 10-year career with Sheffield Wednesday, Rimmer played 418 games in all competitions, scoring 140 goals.
