Wright Brothers Gospel Singers [as Wake Me, Shake Me, Don't Let Me Sleep Too Long]
Staple Singers [in gospel medley Let Me Ride as an arrangement of Swing Low Sweet Chariot]
Coasters [secular version of the Staple Singers, not so much fearing not going to heaven but to lose a job]
Rev. Gary Davis [as Trying To Get To Heaven In Due Time]
Blues Project [as Wake Me, Shake Me]
Myddle Class [garage band classic as Don't Let Me Sleep Too Long; Al Kooper (ex Blues Project) claims The Myddle Class knew the song through The Blues Project, a band they once opened for]
Lou Reed [lyric line in Wagon Wheel ("Why don't you wake me, shake me, please don't let me sleep too long"); The Velvet Underground was The Myddle Class' supporting act in '65]
Closed heaven's gates are a recurrent theme in songs, twice with Dylan: Knocking On Heaven's Door of course and Trying To Get To Heaven (Before They Close The Door) from Time Out Of Mind. Get Me To The Church On Time from My Fair Lady is slightly related.