Hello all again: Not sure if this explains anything. But on the manifest, Joseph's "nationality" is described as English. The column heading actually reads "Nationality (Country of which citizen or subject.)" Plus, there is the 1873 birth in Castleford. I think that eliminates him as a Scot by birth, but perhaps not by adoption, i.e., running off north of the border before emigrating to the U.S.
Since Joseph the New Jersey bricklayer says he naturalized in 1919, it might be worth seeing where New Jersey naturalizations are held. I'll have a look.
John
P.S. By my count he might have had three marriages, no?
P.P.S. Silas, if you PM me with an e-mail address, I'll get the manifests to you.