Ron Carter with Eric Dolphy and Mal Waldron, "Softly, As In a Morning Sunrise":

Chicago - At the Sunrise (From, Chicago III - 1971)

The Chairman of the Board:  Sunrise in the Morning

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The late but great Gordon Lightfoot - Early Morning Rain (From, Lightfoot! - 1965)

Rolling Stones:  Wake Up in the Morning (Rice Krispies jingle)

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Smashing Pumpkins - Widow Wake My Mind (From, Teargarden By Kaleidyscope 1: Songs For A Sailor - 2010)

Big Brother & The Holding Company (post-Janis), "Black Widow Spider".

Peter

Waylon Jennings:  Black Rose

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Bill Haley with the Four Aces of Western Swing - Rose of My Heart (From, From Western Swing to Rock, 1951)

Ray Charles, "Take These Chains From My Heart".

Peter

The Crusaders - Chain Reaction

There was a band a few years ahead of me (my older brothers' age) in my High School called "Chain Reaction".  They had a lead singer named Steve Tallerico.  After graduation they moved to Boston and changed their names, respectively, to "Aerosmith" and "Steven Tyler".

Steely Dan: Chain Lightning

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Pearl Jam - Lightning Bolt (From, Lightning Bolt, 2013)

Kingfish:  Lazy Lightning Supplication

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Green Day - Lazy Bones (From, !Dos!, 2012)