I think I have answered my own question. The history of Ruthenian Catholics in the US is complicated. Pope Leo X issued an apostolic letter, Ea Semper Fuit, which addressed the pastoral care of Ruthenian Catholics in the US. Among several other issues, it addressed the rite of a child being baptized in the US. If I understand it correctly, if baptized in the Latin Rite, the child was a Latin Rite Catholic even if the father was Ruthenian. Of course, a Ruthenian baptism would make the child Ruthenian. This makes sense as it would remove any confusion that may arise.
"Art. 35 But if the father be a Ruthenian, and the mother a Latin, it shall be free for the same father to baptize the offspring either in the Ruthenian rite, or even in the Latin rite, if he himself consented in favor of a Latin wife.
Art. 36 Infants belong to the jurisdiction of the parish priest in whose rite they are legitimately baptized, when by baptism the Latin or Ruthenian rite is received by profession, so that those baptized in the Latin rite look to the Latin rite; But those who were baptized in the Ruthenian rite are to be reckoned among the Ruthenians.
The case is accepted when baptism was conferred on them by a foreign rite due to grave necessity, when they were presumably close to death, or in the place where the parents were surprised at the time of the birth, and the pastor of the proper rite was not present; for then the rites, which the parents profess, will belong to the priest, according to the above statutes."
https://www-vatican-va.translate.go...tl=en&_x_tr_hl=en&_x_tr_pto=wapp