Were these too obvious to include, or were they cited above and I missed them?

Paddy Won't You Drink Some Good Old Cider (recorded in the 1920s by Riley Puckett)
Sweet Cider Time When You Were Mine (a pop song, but recorded by Albert and Johnny Crockett of Dad Crockett's Mountaineers in the 1920s)

and the really obvious one,

Sippin' Cider Through a Straw, that perennial favorite