In 1870-72, John Marius Wilson's Imperial Gazetteer of England and Wales described Brook like this:
BROOK, a parish in the Isle of Wight; on the SW coast, 2½ miles WNW of Brixton. Post Town, Brixton, under Newport. Acres, 713. Real property, £1,280. Pop., 156. Houses, 32. The manor belonged formerly to the Bowermans; and belongs now toSeely, Esq. The manor house was built toward the close of last century; and occupies the site of a previous one in which Henry VII. ...
was entertained. The coast includes Brook Chine and Brook Point; at the latter of which are remains of a very curious mass of petrified trees. The living is a rectory in the diocese of Winchester. Value, £250. Patron, Mrs. Gaze. The church is a very late uninteresting structure, picturesquely situated; and was gutted by fire in December, 1862.
GB Historical GIS / University of Portsmouth, History of Brook, in The the Isle of Wight and Hampshire | Map and description, A Vision of Britain through Time.
Date accessed: 26th April 2017
Click here for more detailed advice on finding places within A Vision of Britain through Time , and maybe some references to other places called " Brook ".