The churches of Eaton and Hulme Walfield belong to a group of parishes, known as a Benefice. All of them share the same vicar and curate. The group has a page on this website: https://www.achurchnearyou.com/church/12764/benefice/
The page on A Church Near You for St Michael's Church at Hulme Walfield is https://www.achurchnearyou.com/church/12767/
The other parishes are:
Swettenham, where the church is dedicated to St Peter
Marton, with the church of St James and St Paul
Siddington with Capesthorne. Siddington's church is dedicated to All Saints.
Services are held occasionally (usually for Harvest, Christmas and Ascension) at Holy Trinity, the Chapel of Capesthorne Hall.