Here are the next and last two quarters:
Quarter 3
1. ar. 3 foxes passant, sa.
3 foxes (Nanfant)
(note: this one is the most important question to me. I cannot see how this one can also be Nanfant but they are exactly the same as the as "argent, three foxes passant (or courant), gules (or sable) is borne by Tregoze of Cornwall." The Tregoze of Cornwall were related to the Blanchminsters. Alice Blanchminster, a co-heiress, married Sir Richard Hewis, their heir was their granddaughter Joan Coleshill whose heir was Isabel Nanfan who married Richard Bolle of Haugh, the grandparents of this Richard Bolle. The Blanchminster, Hewis and Coleshill arms are all listed below as well. I don't have Tregoz in that direct line though so I don't know why their arms are on here.)
2. cheque, or. and sa. a chief ermine
chequy ... and ... a chief ermine (Coleshill)
(note: probably correct, see above note)
3. fretty ar. and sable
.... fretty .... (Blanchminster)
(note: probably correct, see above note)
4. ar. a chevron between 3 cross crosslets, sa. on a bordure of the second entoyer of bezants
a chevron between 3 cross croslets ... a border ... semee of roundles (Fitzwilliam)
(note: probably correct. Richard's mother was a Fitzwilliam of Mablethorpe heiress.)
Quarter 4
1. fretty sa. and ar. a canton of the last
fretty .... a canton (Hewis)
(note: probably correct, see above note)
2. ar. 3 chevronels sa. in chief a fleur-de-lis, or.
3 chevrons .... (Archdecon)
(this one I don't understand at all. There was an Archdeacon family with arms 'ar. three chevrons sa.', with no mention of the fleur-de-lis, which also had Cornish roots. Joan Coleshill's first husband was Sir Humphrey Arundell of Lambourn. Her estate eventually passed to Richard Bolles as mentioned above. Sir Humphrey's brother Sir Thomas Arundell first wife was Margery Archdeacon, heiress of Sir Warine Archdeacon who died without issue but I don't know how the right to her arms could pass from Thomas to his brother Humphrey. Thomas had a male heir by his second wife.
Another possibility is that these are the Fitzwilliam of Mablethorpe's arms. The arms identified above as the Fitzwilliam arms seem to be of an earlier member of the family. The Fitzwilliam of Mablethorpe pedigree in Maddison's Lincolnshire Pedigrees states their arms were "lozengy argent and gules, in fesse a fleur-de-lis of the second within a border sable bezanted. These arms seem to be a mixture of Fitz-william and Mablethorpe". The fleur-de-lis doesn't fit the Archdeacon arms which made me think of this alternative but I don't know if the chevrons in the descriptions suit.)
3. sa. a chevron, between 3 crosslets, or., in chief a lion passant of the second
a chevron between 3 croslets .... and a lion passant in chief (Mablethorpe)
(note: probably correct, see above note for Fitzwilliam)
4. ar. two bars engrailed, sa.
2 bars engrailed (Stayne)
(note: those are the correct arms for Stayne of Lincolnshire. Thomas Fitzwilliam, of Mablethorpe married Joan, daughter and heir of William de Stayne.
Thank you for any advise you may be able to give me.