Regarding Kentucky Wonder White vs Old Homestead:
Some months ago I was researching Lazy Wife's Pole Bean in old Burpee catalogs and made note of two different versions of Kentucky Wonder, a white-seeded and a brown-seeded, being sold at the same time. In cleaning up my notes, I went ahead and did some sleuthing and thought I'd share the results in case anyone here might be interested.
Basically the two lines break down like this (keep in mind this is based solely on the Burpee seed catalog descriptions/listings, 1883-ish to 1953 & 1959):
Bean #1, the Old Homestead line: Round pod, brown seed; first appears in the 1892 seed catalog as "Old Homestead (Improved Kentucky Wonder)", a large-podded improvement to "Southern Prolific." Southern Prolific had been in their catalog since 1884, with a name change in 1886 to "Southern Prolific or Kentucky Wonder."
These two beans (Southern Prolific/KY Wonder & Old Homestead/Improved KY Wonder) were sold side-by-side for 20 10 (oops!) years, until Bean #2's 'parent' (Burger's Stringless) came onto the scene in 1905, at which time Southern Prolific/KY Wonder was discontinued. In 1900, the word "Improved" was removed from Old Homestead's name, and "Kentucky Wonder" was removed from Southern Prolific's name.
Bean #2, the white-seeded line: Flat pod, white seed; first appears in 1940 as "White Seeded Rust-resistant Kentucky Wonder." This was an improved version of a German bean, "Burger's Stringless Green-Pod." Burger's Stringless first appeared in the 1905 catalog with comparisons to Old Homestead in the description (it was earlier and even thicker - more "saddleback" - than Old Homestead, judging from the descriptions). Six years later, Burger's Stringless was beginning to also be known as "White-Seeded Kentucky Wonder" and the two names were basically synonymous in the Burpee catalog by the 1930's. [note: if you have a flat-podded White-Seeded Kentucky Wonder, it is not this bean but (very likely) the 'improved and rust-resistant' strain that came later. This one is round and by all accounts an impressive example of saddle-backing.]
In 1940, Burger's Stringless was replaced by "White Seeded Rust-resistant Kentucky Wonder. An improved and rust-resistant strain of Burger's Stringless or White-Seeded Kentucky Wonder." This new strain had flat pods.
From 1940 to 1948, Bean #1 was listed as "Kentucky Wonder or Old Homestead" (later just "Kentucky Wonder") and Bean # 2 was listed as "White Seeded Rust-resistant Kentucky Wonder" (which became "Kentucky Wonder, Rust Resistant").
And there you have it, or at least up into the 1950's and according to Burpee. One with round pods and brown seed; the other with flat pods and white seed.