There is some doubt about the names of head teachers at this point.
Graham Claydon writes:
" The crux of the problem stems from the booklet by Dickinson produced for the 400th anniversary of the Grammar school in which there is an account of the Headmasters of the school in th 17th Century which makes no mention of Thomas Taylor who I believe to have been the headmaster of the school from 1641-79"
As evidence of Taylor's role he refers to a memorial stone at All Saints church and to a reference to Taylor's school in Pepys' diaries of October 10th 1667, amongst other sources.
I have therefore added question marks alongside three of the names quoted by Dickinson.