Unfortunately that information is incorrect. There seems to be no George Squire born in 1618 whose father was named Samuel.
The George Squire born at Gainsborough was born 01 March 1618 and his father's name was John. He could be our George Squire, but there is another possibility:
The George Squire who was actually born on 13 September 1618 was born at Milbrook, Bedfordshire (son of James Squire): "England Births and Christenings, 1538-1975," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:J3ZC-ZDM : 11 February 2018, George Squyre, 13 Sep 1618); citing , index based upon data collected by the Genealogical Society of Utah, Salt Lake City; FHL microfilm 599,351.