Cf. Bingham, Antiquities, II. xx. 9.  “When Cyril directs his Catechumens how they should behave themselves at the time of Baptism, when they came either before a bishop, or presbyter, or deacon, in city or village,—this may be presumed a fair intimation that then deacons were ordinarily allowed to minister Baptism in country places.”  See further ‘Of the power granted anciently to deacons to baptize,’ Bingham, Lay Baptism, I. i. 5.