Books

W. Dugdale, Antiquities of Warwickshire (1656)
R. Plot, Natural History of Staffordshire (1686)
Victoria County History, Warwickshire Vol 4
W. Hutton, History of Birmingham
The History of the Forest and Chase of Sutton Coldfield [by L. Bracken]
Book digitized by Google from the library of Oxford University.
The Gentleman's Magazine. v.32 1762.
The 18^th and 19^th century “Gentleman’s Magazine” is scanned and on the web (Indiana State University!) and this article by “Incola”, written in 1762, contains various pieces of information about Sutton, which you may find interesting.
William Midgley’s Sutton Coldfield Town and Chase (1904)
The text (but not maps) of William Midgley’s Sutton Coldfield Town and Chase (1904)