Blondie - I found the info in the "Let Your Name Be Sanctified Book", starting on page 335 and continuing for several pages. It suggests that when Rutherford was on his death bed and he summoned two men of the anointed remnant (who we know to be Fred Franz and Nathan Knorr), that, "It appears that there the Elijah work passed, to be succeeded by the Elisha work." It inferred that Rutherford's death was like crossing the Jordan River. Paragraph 7 "In 1942, in the throes of World War II, the Elijah work passed."
This book came out in 1961...I remember studying it back then but didn't know it was "new light."