He was brought up at Asamankese in the Eastern Region, where he attended the Roman Catholic Primary School and Presbyterian Middle School before proceeding to Presbyterian Boys' Secondary (PRESEC), at Odumase-Krobo, and Apam Secondary School.
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Oquaye's father, E.G.N. Oquaye, had been a founding member of the United Gold Coast Convention (UGCC) at Asamankese.
The Church’s beginnings are linked to the ministry of Pastor James McKeown(1900-1989), an Irish missionary sent by the Apostolic Church, Bradford, UK to the then Gold Coast (now Ghana) in 1937 to help a group of believers of the Apostolic Faith in Asamankese.
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In June 1937, Rev. James McKeown was seriously ill by malaria and was kept in his room at Asamankese for some days without medication in accordance with the rules, belief and practice of the Apostolic Faith.