Here's another possibility from page 153 of “A Dictionary of Jewish Surnames from the Russian Empire,” by Alexander Beider, published in 1993. The surname BRIFMAN is derived from BRJF, an acronymic surname---I believe the Jews are the only ethnic group to use that type of name.
The BR designates "Ben Rabbi" and the JF designates the initials of the rabbi, whose actual name is unknown to the author (Beider).
Beider has a few pages of bibliography, including "Some Acronymic Surnames," by J[oshua] H. Neumann. in> Revue Internationale d'Onomastique, vol. 17 (1965) p. 267-74.
170 acronymic surnames (including roman transliteration) are said to be listed in the Hebrew language article by Eliezer S. Rabinovitz, in the periodical Reshumot, vol. 5 (1927/28) p. 295-323 and vol. 6 (1930) p. 324-358. Reshumot was published in Tel-Aviv.
Reg Niles RegNMINiles@cs.com