Might be this man, but without names of siblings, spouses etc. it's hard to confirm if this is the correct John Brown.
From familysearch.org
https://familysearch.org/pal:/MM9.1.1/V2HH-61V
Rhode Island Births
John Brown Male
Birth 12 Mar 1764 WESTERLY,WASHINGTON,RI
Father Ebenezer Brown mother Anna
indexing project (batch) number: C50201-1
