The churches of Capesthorne and Siddington belong to a group of parishes, known as a Benefice. All of them share the same vicar. The group has a page on this website: https://www.achurchnearyou.com/church/12764/benefice/
The other parishes are:
Christ Church, Eaton with St Michael's Church at Hulme Walfield.
Swettenham, where the church is dedicated to St Peter
Marton, with the church of St James and St Paul
Services are held occasionally (usually for Harvest, Christmas and Ascension) at Holy Trinity, at the Chapel of Capesthorne Hall.