I downvoted the question Standard of Britton's matter because it seems as if the question ought to be answerable by referring to the same page of the book which contains the Plate.
Referencing Plate VIII the text to the left of the plate says "Badges and standards are now granted to any person already possessing a right to arms and willing to pay the necessary fees." 'Granted to any person' would suggest the badges belonged to the person and not the family.
If the user wants help confirming that hypothesis by cross-checking with other sources then IMHO the question should be rewritten to ask that explicitly. That is, I would ask the question in this form: "I don't understand the discussion of standards in Fox-Davies' book -- do the badges belong to the entire family of Britton, or just an individual? Where can I find alternate explanations?" or something like that.
The user already has the reference book in hand (virtually speaking), so why should we have to read the reference in order to answer the question, especially since the answer as written seems to be either "yes" or "no"?
I suppose the real answer is to campaign among my friends in the SCA and bring in someone who can answer the heraldry questions in their sleep. ;)