Either this Jo[h]n de la Mare or his son of the same name was responsible for building Nunney Castle in Somerset. Eventually, Nunney Castle and the other lordships held by the de la Mares passed to William Paulet, Marquess of Winchester.
3rd Baron Hastings of Hastings and 1st Earl of Huntingdon (1488-1545)
Blazon: Per quarterly; I argent a maunch sable (Hastings), II sable two bars argent, in chief three plates (Hungerford), III argent a griffin segreant gules, armed azure; IV paly wavy of six or and gules
From Inquiries into the Origin and Process of the Science of Heraldry in England by James Dallaway, p454
Left to right, top to bottom (click on the name for more examples of each):
The maunch, an often-stylized representation of a lady’s sleeve, which were often given as favors at tournaments.
The fer-de-moline, or mill-rind, a small piece of iron which supported the millstone.
The goblet. Those shown here are covered, though that is not always the case.
The clarion, or rest. It is not at all clear what this figure is supposed to represent. The older heraldic writers, beginning with Guillim, called it a clarion, or part of a pipe organ. However, it is more commonly called a rest, though whether it is a spear-rest or an organ-rest is not clear.