A participial phrase contains a participle, which is a verbal form with the endings -ed or -ing (or irregular, such as "written", as in "Written on monday (the piece was famous already on Tuesday)).
here the participle is "noted" and the whole phrase is this one:
Noted for her beauty
Of pure or unmixed breed, stock, or lineage, as a horse or other animal; bred<span> from the purest and best blood. hope this helps</span>
i dont have a way to explain that
