There are places in the Torah that call for an offering of "two turtledoves, or two common doves" (as translated by Rabbi Aryeh Kaplan), e.g. Leviticus 12:8. Could s/he bring one of each kind, ...
Did we (the Jewish people) yearn for the complete Redemption (with the Techias HaMasim, etc) like we do today, at the time the either Temple was standing? It can't be that we just assumed "This is ...