In the federal courts, the parties' names always stay in the same order as the lower court when an appeal is taken to the circuit courts of appeals, and are re-ordered only if the appeal reaches the Supreme Court.
ɪnðə fˈɛdɚɹəl kˈoːɹts, ðə pˈɑːɹɾiz nˈeɪmz ˈɔːlweɪz stˈeɪ ɪnðə sˈeɪm ˈɔːɹdɚɹ æz ðə lˈoʊɚ kˈoːɹt wɛn ɐn ɐpˈiːl ɪz tˈeɪkən tə ðə sˈɜːkɪt kˈoːɹts ʌv ɐpˈiːlz, ænd ɑːɹ ɹˌiːˈɔːɹdɚd ˈoʊnli ɪf ðɪ ɐpˈiːl ɹˈiːtʃᵻz ðə suːpɹˈiːm kˈoːɹt.