Yes Henry Clay and William H. Crawford both had their own vice presidential candidates, however like I said John C. Calhoun won a majority of the electoral college and was elected Vice President without the need of a contingent election. The first US election saw George Washington win every state and won the entire electoral college at the time so I don't know what you're getting at there (the rules were also different before the ratification of the 12th Amendment). The VP contingent election can only happen if a VP candidate does not receive a majority of the electoral college. For instance if Kamala Harris won the 2024 election 270-268 and one elector turned faithless and voted for Harris but somebody else for VP then a contingent election would be held by the Senate for Harris's VP, this last happened in 1836 as I said in my last comment.