In searching databases for Hunter families connected to the Mayflower I did find our surname Hunter in the Mayflower Families Fifth Generation Descendants, 1700-1880. There were 39 records found. John Hunter p. 257 is in the image below.
ANCESTRAL CELTIC TRAVELER
Destination Specialties, Interests, Honeymoons, Culture, History & Arts, River Crusing, Scottish Clan Gatherings
Hunter Roots to the Pilgrims