And most of those will be pre 1900, on 7 inch USA Berliners, with a pressing limit of less than 1000 discs from each master, and a new master would require a completely new recording by either the original artist or another substitute artist. No wonder they are rare!

But here's a copy (the only known one!!) of a 'lost' disc, to show that they can turn up: https://www.45worlds.com/78rpm/record/nc690241us

This record appeared on ebay UK about 7 years ago, and I won it. After sending details about it to the UK Berliner expert, I was told that the discography of American Berliners did not have a picture of it, as it was only known from printed lists, and would I allow the image to be added in the next issue. Well, yes of course!

Mike - as your objective is to hear these items, I won't be spending many hours listing known sources.

But, as an example, here are three cylinder recordings of the first item on your list:
George J. Gaskin - Slide, Kelly, Slide - composed John Kelly
Edison 1547; (2 min brown wax) released 1896-late 1897 (USA)
North American Phonograph Co. 146; (2 min brown wax) released Apr-Aug 1892 (UK)
United States Phonograph Company Not numbered; (2 min wax) released 1896 (UK)

Are these from the Joel Whitburn Pop Memories book?

Yes That's right