There are bits and pieces to be gleaned from google books and the London Gazette and how about the British Newspaper archives (just sign up and get 3 free newspaper pages)?
https://www.thegazette.co.ukhttps://www.britishnewspaperarchive.co.uk/There appears to have been a Mr T Spearpoint who was a Post Agent (this ran in the family for some time?
1897
At Folkestone County Court, on December 15, before Sir W. L. Selfe, Mr Charles Griffith, chemist and druggist, Canterbury, sued Mr. T. Spearpoint for 7/. 10s. for an upper and lower set of artificial teeth for Mrs. Spearpoint, and 1/. for four teeth supplied to his daughter.
(Conclusion, they needed teeth back then, lol?)
https://books.google.co.nz/books?id=VKQhAQAAMAAJ&q=spearpoint+folkestone&dq=spearpoint+folkestone&hl=en&sa=X&ved=0ahUKEwiz25W32LPYAhVEiLwKHZq0BqQQ6AEISzAHThis looks interesting:
The Nautical Magazine - Volume 63 - Page 667
https://books.google.co.nz/books?id=OAoAAAAAMAAJ1894
The Board of Trade have received through the Foreign Office a medal and diploma, together with a sum of money, for each of the undermentioned fishermen of Folkestone, which have been awarded to them by the Belgian Government in recognition of their services to the shipwrecked crew of the Belgian fishing-boat Les Deux Amis, which stranded near Folkestone on the 4th January last. The names of the fishermen are : — R. Weatherhead, W. Spearpoint, T. W. Penny, W. May ...
Also this
Births. 20th Febuary 1869, at Wood Street, Dover, the wife of Mr- Osborne Spearpoint of Her Majesty's Revenue Cutter Lion, of a son.
The name is pretty common around Folkestone, even an image search on the surname turns out interesting historical photographs/memorials
I guess you have all this
http://www.airgale.com.au/spearpoint/d13.htmThere is even a Charles Ingram Spearpoint WW1 solidier in NZ, if you want the link to his WW1 file.