Having already played for St Sidwell’s United, Alec Davidson, appeared in the first side to bear the name of Exeter City in September 1904. He continued to feature for City until Boxing Day 1906.

Although moving to what was a relatively small amateur side at the time, Alec was said to have joined St Sidwell's from the Halifax area having “learned his football while on the books at Tottenham Hotspur”. Appearing in 13 of the recorded 14 games in 1904/05, and in all twelve in the following campaign, he had made a further eight appearances in 1906/07 before featuring in his last game for the club against Gunnislake on Boxing Day 1906.

Captaining City by this time, the press reported that Alec joined the Devon Regiment, and was "now stationed in Plymouth, would be assisting Plymouth Argyle whenever possible” although there is no record of him playing for that club in a first-team game. As he departed the scene, he was described as “one of Exeter's best players, especially at centre half, in which position he is unsurpassed in skill and trickery and dazzling footwork”.

Alec played for the 2nd Devon's in a friendly against Exeter in April 1907.