I can't really help you on the Power's Distillery, but there is a church in John's Lane , called St John's church. This church, situated in Fishamble-street, at the corner of John's-lane, and next the court-yard in front of the old Deanery, was also erected a Prebend by Archbishop Browne, in 1544. On the front of the gallery, at the north side, the arms of the corporation of tailors are suspended, with this motto in Latin, "I was naked and you clothed me." The present church is of modern date: in the register of the parish in the vestry-room, may be seen the estimate for its re-building in 1767.
St. James's Church is in James's-street (nearby). On the north side of the chancel is a stone of rude appearance, bearing this inscription: This monument was erected by Mark Rainsford, of the City of Dublin, Alderman, 1693. The date of this monument is antecedent to the erection of this church 1707.
Here is a link with some history about the John's Lane Distillery: http://www.celticmalts.com/journal-b3.htm
, or http://www.visitdublin.com/oldbrowsers/oldcity.htm