There are online family trees that claim, without evidence, that William Parke's mother was Elizabeth Ogilvy, daughter of Alexander Ogilvy, an alleged son of Sir John Ogilvy.
Sources
Acknowledgments
WikiTree profile Parke-216 created through the import of Coley Wolford Stayton McCarroll Bond.ged on Aug 7, 2011 by Tom Coley.
This person was created through the import of Acrossthepond.ged on 21 February 2011.