This is really a chest.
Which chest may be debatable, but it is a quite naughty allusion nonetheless, highlighting what Matthew thinks of Henry, and where he expects his priororities to have been.
For once, Matthew was highly critical of Henry and constantly bemoaned any form of government. He seems to have disliked anything else 'the state' might do, ...
The clue provided by Denis de Bernardy in a comment answers this question. Yes, the Grand Armorial de France of Henri Jougla de Morenas documents several noble families that predate 1066. As justCal points out, the volumes of this works are indexed on the French Wikipedia.