variant of bright (adj.). It figures in English phonetic spelling reform from at least the late 19c.; as an advertiser's word it dates from at least 1905 ("Star-brite Metal Polish," made by the Star-Brite Company of Lancaster, Pa., U.S.).
Examples from the Web for brite
Yesterday and day before it was brite and fair, and yesterday was as warm as summer.The Real Diary of a Real Boy
Henry A. Shute
That Eagle, Sir, will continner to scream all over this Brite and tremenjus land!The Complete Works of Artemus Ward
Charles Farrar Browne (AKA Artemus Ward)
In the Brite Lexington of yooth, thar aint no sich word as fale.A History of American Literature Since 1870
Fred Lewis Pattee
Thro the thick clouds uv gloom the brite sun uv hope cheerinly breaks.Swingin Round the Cirkle.
Petroleum V. Nasby
Of course I miss you; as the poet sez "Your brite smile haunts me still."Love Letters of a Rookie to Julie