John, I remember most of those old wacky songs like Mairsi Doats and Doesi Doats, or I have tears in my ears from lying on my back crying over you.
I do remember more of the sentimental ones. My Mom and Dad sang this one when Mom played the piano. It is especially meaningful since i lost my wife 16 years ago.
https://www.youtube.com/watch?v=TzqRKnMZwP0Oh my, that one kinda tugs at these old heart strings as well.
Re. singing old tunes, I remember one time back when I was about 12/13 yrs. old, dad and mom were teasing each other about his singing....which wasn't very good but he tried hard.

Somehow the subject turned to a tool dad wanted for his woodworking shop, had something to do with "singing for your supper" as I recall. Mom told him she'd get him that tool if he had the nerve to sing "Don' sit under the apple tree with anyone else but me." She dared him, so he grabbed his coffee, a folding chair and a book, headed out under our huge apple tree and started singing at the top of his lungs. Mom was so embarrassed she went out and tried make him stop but he sang clear through to the end. He was the School Superintendent at the time, small community, and it wasn't long before everybody was getting a good chuckle over it....Superintendent Schmidt out singing under the tree. Dad got his new tool and mom learned to never dare dad.
Wayne, do you remember that old "state name" song? Some of the lines were: What did Delaware, Boys....the answer line was; She wore a new Jersey, Boys. Or....What did Iowa, boys? She weighed a Washington. Yes, kinda silly but the kids had fun with it. Funny thing, my girls used to sing together all the time and they loved to copy the Andrews sisters. One time they did a special song at a church party and were dressed like back in the early 40's. Needless to say, they were a hit. Sadly, ever since two of their sisters died the two left refuse to sing anymore.