In 1870-72, John Marius Wilson's Imperial Gazetteer of England and Wales described Bekesbourne like this:
BEAKSBOURNE, or Bekesbourne, a parish in Bridge district, Kent; on the Canterbury and Dover railway, 2¾ miles SE of Canterbury. It is a member of the cinque port liberty of Hastings: and has a station on the railway, and a post office under Canterbury. Acres, 1,115. Real property, £2,393. ...
Pop., 475. Houses, 92. The property is divided among a few. Beaksbourne House is the seat of Dr.T. Beke. The living is a vicarage, in the diocese of Canterbury. Value, £187. Patron, the Archbishop of Canterbury. The church is perpendicular English; was restored in 1843; and contains the monument of Hooker, who became vicar in 1595. The parsonage has been much modernized; yet contains features which were in it in Hooker's time.
GB Historical GIS / University of Portsmouth, History of Bekesbourne, in Canterbury and Kent | Map and description, A Vision of Britain through Time.
Date accessed: 28th March 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 " Bekesbourne ".