Garyn G. Roberts wrote in his book, Dick Tracy and American Culture: Morality and Mythology, Text and Context, "Wever's most famous role was probably that of H.C. McNeile's British detective and adventurer Bulldog Drummond for the program of the same name.

[4] He graduated from the Pawling School and Princeton University, where he was president of the Triangle Club dramatic organization in his senior year[1] and was a member of the staff of The Daily Princetonian newspaper and the Nassau Literary Magazine.

[9] Wever's initial professional stage work came with Stewart Walker's stock theater company in Indianapolis, Indiana.

[10] In his book, The Great Radio Soap Operas, Jim Cox called Wever "as talented a musician as he was an actor".

[9] Wever was credited with more than 70 appearances on television programs, including Alfred Hitchcock Presents, Bonanza, Perry Mason, Get Smart and The George Burns and Gracie Allen Show.