F. E. C. Gregory's book The History of Price's School describes the original opening...

Recent additions to the website:

Stephen R. N. Bradly 1908-1934

George A. Ashton 1934-1959

Eric A. B. Poyner 1959-1978

The late John Hill sent this programme from a special memorial Speech Day 1930 for
Charles Beauchamp who died whilst saving a boy called Newbery from drowning.

Mike Bayliss writes about Fareham in 1828...

So, as the ether seems to have gone quiet for the moment, here are some gleanings that are not to do with Price's as such but relate to Fareham past.  I picked then up while researching my family history: they come from Pigot's Directory of Hampshire for 1828. 
We learn that
"Fareham is governed by a bailiff, two constables and two ale conners, who regulate all matters relative to weights and measures, &c…  It has an annual fair on 29th  June, for cheese toys, &c, and contains 3,677 inhabitants."
The ale connors were certainly kept busy, as we find there were a number of hostelries in the town, some of which may still be familiar to OPs:
Red Lion
White Hart
The Bugle, Charles Mason
Castle in the Air, John Halley
Chequers, William Newman
Coach & Horses, Ann Dean
Transport was rather a different affair then - no buses, no trains, not even a tram.  There were mail and stage coaches to various parts, but we also find:
Portsmouth & Gosport – three times a day
Given the present congestion on the Fareham-Gosport road, perhaps this should be reintroduced!
What worries me most, though, is the following:
Budd, Miss (ladies boarding)
Draydon, Mr (gentlemen's boarding)
Harvey, Miss (ladies boarding)
Parker, Mrs (ladies boarding)
Sexey, George, (gentlemen's boarding)
Snow, Miss (ladies boarding)
So *where* is Price's School?!

See also Fareham Past and Present...