Here is a page from The Centennial of the Settlement of Upper Canada by the United Empire Loyalists, 1784-1884 (Toronto: Rose Publishing, 1885).
MIL UU-34 Brewer UEL
The file is from the William B. Bogardus Collection, Box 5. The two Brewers listed here are Aaron Brewer and his father, Lazerus (Elazerus) Brewer. They are descendants of Adam Brouwer of Gowanus, L. I., and both have been addressed in earlier posts. From the list published in this book, it appears that while Aaron Brewer was an "Associated Loyalist," his father, Elazerus, was not. Aaron went to Canada in 1786, while Elazerus did not go until 1794. Perhaps Elazerus' motive for going to Canada, eleven years after the Revolutionary War ended, was to avoid problems with debts, that seemed to always hound him as evidenced by records found in the Monmouth County Courts.