This image has always caused difficulties. Published in 1902, it shows “Reay, late of Liverpool”. No such named player ever played for Liverpool and few players with the surname ever played in the Football League.
We therefore have to assume that this is Harry Reay, late of Everton, who had played several years earlier. Winger Harry Reay was born on Tyneside and is first recorded playing for Gateshead in 1889, subseqently playing for Shankhouse Black Watch in 1890, and Newcastle East End in 1891, which merged in 1892 to form Newcastle United.
Joining First Division Everton in April 1893, he made his Football League debut in a 1-0 win at Bolton Wanderers the same month, scoring the winner at their old Pikes Lane ground. He then played once more for Everton in an FA Cup tie at Southport Central in February 1895 in a match won 3-0 by Everton.
With such a limited playing career it’s uncertain why he was chosen to be featured on a cigarette card in 1902, and without any actual corroboration from another photograph of him, it is impossible to be absolutely certain of his identity, rather than it merely being the strong probability.