I sing for old folks most days and not many of those songs would be known by them - a few Hank Williams maybe, one or two Beatles.

As you say Gershwin and Cole Porter haxve written some quite popular ones. I suspect most people know a few Les Reed and Harlan Howard songs without realising it.

Harry Warren though scores as does Jerome Kern.

Top though, I'd place the lyricist Dorothy Field. I ain't going to tell you. You check her out - don't worry - you know ALL her songs!

Call yourself a feminist and you don't know about Dorothy - that lady with the long list of women writers.