The one on the table is 78 1/8 RPM - it only has one song on it as it's a single sided record. priced at 60 cents. I don't know when this one was sold (We'll say 1913 since that's the earliest the government has records for) it would be about $20.00 today.
There were 33 1/3 pressed about this same size called EPs, LPs aren't much bigger. If they were warped, they were vinyl, shellac tends to crack.
I had them in the neighbor's barn sale for a few years priced at $1 each, didn't sell any of them.
These were most likely 78 speed too. 33 1/3 was for later/modern albums I guess, 45s for singles, 78 for the old stuff. I still have an old 1950s or early 1960s hi-fi (that I haven't used in 40 years) with those 3 speed options - but uses a sapphire needle cartridge IIRC.
Hmm. Yeah, unfortunately records tend to be worthless, or collectible. The one one the table was given to me in a batch similar to what you had. They had to go, do you want them, etc.