Coat Of Arms Question?

[Domehead]

Based on the blazonry included:
The escutcheon is black with two five-petal "flowers" above the fess & one five-petal "flower" below, all white or Silver tincture. Or...
The escutcheon is black with one five-petal "flower" in chief (dexter / sinister); one in the fess point; one in base (dexter / sinister).
The discretion of the ordinaries placement would be that of the artist unless specified.

The literal use of "pierced" does mean a cinquefoil with a hole in the middle through which one observes (usually) the field. But, depending on placement of the ordinary, it may observe the fess. In this specific blazon, the placement of the ordinaries will determine how many first, then color.

One thing it is not is the crest. Crests are not "officially" included in the blazon, although they are stylistically listed below blazonry in The General Armory of England, Scotland, Ireland & Wales... In Scotland, historically crests were transferred through heiresses. This practice has morphed to the point were cadets and septs may display the crest of a Clan or family should it be transferred or "granted". Just as likely, branches may create their own crest. The point is, while one must rematriculate the arms to which they inherit with marks of cadency, it is not necessary to do so with the crest. This rematriculation may include two armorials. But the inheritor has only one head and one helmet upon which to place the crest. The precise rules of Scottish heraldry that govern the matriculation & granting of Arms are not observed with the same vigor around crests.

As well, Arthur Charles Fox-Davies (1909) & James Parker (1894) indicate alternative meanings and uses for the term "pierced", of which I am not very well versed. However, one of their alternatives I do understand as it pertains to orle. When an observer comes upon escutcheon bordure or orle, engrailed or invected, it is difficult to determine which without the blazon at hand. However, if the "border" is ermine, the "interior" is verte and the cinquefoil ordinary is ermine, then the cinquefoil is pierced of field: "Ermine. On an orle vert, an cinquefoil pierced of the field."