My mom used to sing this to me as a kid. I had never heard of the Davenport one, but I really like it. Here's another verse for ya!
S-U-PER S-U-D-S spells Super Suds (Super Suds) It's my favorite kind of soap (soap) The man who made it must have been a dope (dope) S-U-PER S-U-D-S you see, It's a soap in a box guaranteed to dye your socks. Super Suds for me!