Ancestry shows the following sourced data for immigration of a Richard Birge.
Primary Immigrant: Birge, Richard
Arrival Year: 1640
Arrival Place: Massachusetts
SOURCE: Colket, Meredith B., Jr. Founders of Early American Families: Emigrants from Europe, 1607-1657. Cleveland: General Court of the Order of Founders and Patriots of America, 1975. 366p.
NOTE: A 2002 2nd Revised edition of this book may be available at a library near you.
https://www.worldcat.org/title/Founders-of-early-American-families-...
This book is under copyright and a 2nd edition of the book appears not to be on sale. (The 1st edition copy costs no less than $85!)
Colket's date for immigration is at odds with the information posted at: https://www.werelate.org/wiki/Person:Richard_Birge_%281%29 —
which immigration dating is well considered at: https://www.wikitree.com/wiki/Birge-12