Parents of Francis Cooke in Geni

1. Disconnected with notes

My Genealogical Data, was entered from Data collected from various sources, from a Professional Geneaologist.

The paperwork before me lists the following sources this Geneaologist used
when listing Richard Cooke and Alice Caunton as Francis` parents:

>SOURCE< Nathaniel B. Shurtleff and David Pulsifer,
Records of the Colony of New Plymouth in New England,
(Boston, MA, 1855-1861) Volume 8, page 23

>SOURCE< James Savage,
A Genealogical Dictionary of the First Settlers of New England-
Showing Three Generations of Those who came Before May, 1692
(Boston, MA 1860-1862) Volume 1, page 451

>SOURCE< William T. Davis
Genealogical Register of Plymouth Families
(Darnell & Upham, Boston, MA 1899) page 69

In cases like this, I usually choose connected with notes. Where there is no evidence except Internet trees and the figure is before 1200, I usually choose disconnected with notes.

Caleb Johnson and Robert Anderson (The Great Migration) are the contemporary authorities. Can anyone get their evaluations?

In the case of Mayflower descendants I would like to see how these families would prefer it. Not so much setting a general rule, as yet.:)

I have Francis Cooke in my ancestry.