Brooksie is a nickname of:
People:
Harry J. Brooks (1903–1928), American test pilot, so called by Henry Ford
Neil Brooks (born 1962), Australian former swimmer
Phyllis Brooks (1915-1995), so named by Cary Grant, to whom she was rumored to have married
Steven Brooks (lacrosse) (born 1984), American professional lacrosse player
Brooks Orpik (born 1980), American National Hockey League player
Fictional characters:
Claire Brooks, in the radio drama series Let George Do It (1946-1954)
Gloria Brooks, in the short story "Delilah and the Space Rigger" by Robert A. Heinlein