This church belongs to a group of parishes, known as a Benefice. They all share the same vicar. The group has a page on this website here.
The page on A Church Near You for Christ Church, Eaton can be found by clicking here.
The other churches are:
Swettenham, where the church is dedicated to St Peter can be found here.
Marton, with the church of St James and St Paul can be found here.
Siddington's church is dedicated to All Saints and can be found here.
Services are held occasionally (usually for Harvest, Christmas and Ascension) at Holy Trinity, the Chapel of Capesthorne Hall. It is part of the parish of Siddington with Capesthorne and its page is here.