That is I think correct for Stoke Hall and that Gervis may have been a tenant farmer there?
A history of the county of Stafford 1963 has this useful bit of info-
" The moated parsonage-house was known in the 19th century as Stoke Hall and lay south of the church beyond the road to Fenton. This house, or another house on the same site, was in existence by the mid-15th century as the residence of James Moseley, the rector's proctor. Occupied by the curate at the beginning of the 17th century, the hall was again the rector's home in 1666 when John Mainwaring (rector 1633–92) was taxable on eight hearths there. It was in the hands of a tenant-farmer in 1818 and of the curate c. 1828 after the demolition of the curate's house in the churchyard. 'A truly shabby house' by this time, it was repaired in 1829 out of money raised by the sale of tithes and glebe, and was again occupied by the curate in 1851, the rector being non-resident (Stoke Hall farm was then held by a tenant. The rector had been living at the Hall in 1834). Sir Lovelace Tomlinson Stamer lived there until 1864 when Cliffville, the house built by John Tomlinson in 1810 on an estate of 70 acres near Hartshill, was acquired as the rectory house along with 20 acres of land. New streets were being laid out over part of the estate in 1877. The hall was evidently let until 1891. It was then demolished and tramway offices and sheds, now the P.M.T. offices and garage, were built on the site, while more streets were laid out over the estate during the next few years."
It might be interesting to see if there are any tenant records in the archives for Stoke Hall /St Peters rectory. On at least the 1900 map it is called the Rectory before being replaced by the "Omnibus Depot"
From potteries org "This map is undated but it is between 1800 and 1826.. The church and the rector's house (Stoke Hall) stood on moated sites which provided protection not only from attackers but also from the river which periodically flooded the meadow land in the valley bottom. "