NFL Draft: Joe Burrow becomes the 19th LSU QB to be selected Joe Burrow becomes the 19th LSU quarterback to be selected in the NFL Draft. 1971: Buddy Lee Chuck Cook-USA TODAY Sports Buddy” Lee was drafted by the Chicago Bears in the seventh round and was later traded to the Los Angeles Rams. Pages: Page 1, Page 2, Page 3, Page 4, Page 5, Page 6, Page 7, Page 8, Page 9, Page 10, Page 11, Page 12, Page 13, Page 14, Page 15, Page 16, Page 17, Page 18, Page 19