He was licensed as
curate of
Stonehouse, Plymouth in 1731. In November 1732 he began acting as the minister of the nearby parish of
St Budeaux to which he was officially licensed the following year. He was also instituted as
vicar of Runcorn in 1756 and ran this parish as a pluralist with the aid of curates. In 1769 the living of
St Andrew, Plymouth became vacant and Alcock expected to be elected to it. He was unsuccessful and refused to preach his regular sermon at the church or indeed to enter the church again. In 1771 he helped to purchase land at
Weston Peverel to provide a master for the St Budeaux
charity school and to clothe the poor. In 1769 he was granted the freedom of the borough of
Plymouth. ==Farmer and cidermaker==