St Peter's Church is in the small hamlet of Aston-by-Sutton, Cheshire near to the town of Runcorn. The church is recorded in the National Heritage List for England as a designated Grade I listed building. It is an active Anglican parish church in the diocese of Chester, the archdeaconry of Chester and the deanery of Great Budworth. It is one of three parish churches in the parish of Aston-by-Sutton, Little Leigh and Lower Whitley. The other two being St Michael and All Angels, Little Leigh and St Luke, Lower Whitley. The three were previously individual parishes united in a benefice along with St Mark, Antrobus. The listing describes it as "a most pleasing late 17th to early 18th-century church, inside and out". The church stands in a relatively isolated position in the south side of Aston Lane in the hamlet.

The Diocese of Chester is a Church of England diocese in the Province of York covering the pre-1974 county of Cheshire and therefore including the Wirral and parts of Stockport, Trafford and Tameside.