Hal --
"Direct descendant" is the wording used -- on the web site and on
the baseball cards for Paul O'Neill. And, yes, there has been one
elaborately constructed claim from Ulysses S. Smith of Hannibal
who I gather is/was somewhat of a "colorful" character around
those parts who was seeking a grandfather and ended up publishing
his family's photos as "direct descendants."
Now -- as to the brother connection descendants -- would that be
Orion or Henry?
Barb