The “cross quarter-pierced”, as an ordinary, was originally blazoned as “party (or checky) of nine pieces” in the 15th Century, and was treated as a field [Hope 63]. It was only later considered a modified ordinary, due to the influence of discrete (i.e., non-ordinary) crosses quarter-pierced (or “square-pierced”): e.g., the cross moline quarter-pierced in the arms of Colville, 15th C. [Scots 48].
Jennifer of Cat’s Leap bears: Per saltire azure and Or, a cross quarter-pierced counterchanged.