Parkknowe LEU S NO410195 1 363 65m EAF
Park Know 1775 Ainslie/Fife
Parkknowe 1828 SGF
Parkknowe 1855 OS 6 inch 1st edn
Sc park + Sc knowe
Presumably referring to a hill in or near to emparked land (i.e. enclosed farmland or field) possibly attached to nearby Pitcullo Castle.
Note also Park Know Cottown 1775 Ainslie, on road west of Pitcullo. It includes Easter Kitattie (for which see Kitattie # LEU, above).
This place-name appeared in printed volume 4