Richard Naylor (Nayler), Jr. - Source for parents "Richard Stephen" Naylor and Alice?

I can find no primary source for this man's parents, only unsourced trees in e.g. WikiTree, Rootsweb, FamilySearch.

I suspect this is erroneous information that has been repeated. The middle name is certainly suspicious.

The birthplace is also suspicious, as Raby Castle, Durham is the home of the Neville family.

Does anyone have a better source for this man's parents? Otherwise they ought to be replaced with "unknown" parents.

I have added his sisters Alice and Margaret, who are mentioned in his will. I hope to find a better transcription elsewhere:

"Itm I bequeth to Alice my Suster and to her Children eqally to be divided amongs them v li Itm I biqueth to Margaret my Suster and to her Children eqally to be divyded amongs them"

http://www.werelate.org/wiki/Person:Richard_Nayler_(1)