The authors, John Layer and William Cole, recorded this c1632 and between 1742 and 1782.
They would have been educated men, almost certainly University educated.
As such, they would have been familiar with Heraldic language?
And the fact that they described the errant charges as "pears" seems to me to be the clincher.
Do you know who Richard Harris married?
Maybe we can find an arms for her father.