[2] Alcock was not one of the founding members of Recreativo de Huelva in December 1889, but he had a chalet near Hotel Colón, the location of its foundation.
[4] Together with William Alexander Mackay, founder of the club, and Charles Wilson Adam, its first president, Alcock was one of the early promoters of the Recreativo.
[7] Three months later, on 6 May, he again started as a forward for Huelva, this time in a match against Rio Tinto FC, playing alongside the likes of George Wakelin, Luis Birchall, and James Reeves.
[7] On 20 November 1904, Alcock captained Huelva to a victory over the British sailors of the Seamen's Institute, thus winning the so-called Copa Seamen's Institute, a silver cup that had been donated by Recreativo's vice-president José Muñoz Pérez, similar to how King Alfonso XIII had donated a trophy to the winners of the Copa del Rey, which had been founded only a year earlier.
[2] He remained a member of Recreativo for over three decades, until September 1924, when he left the board, doing so alongside the club's long-time president Mackay.