Ackshually, Zealand isn't really Old Zealand because New Zealand is named after Zeeland, only the spelling has changed over time.

Relation to New Zealand The island nation of New Zealand has no etymological relations to Zealand. New Zealand is named after the Dutch province of Zeeland, which is sometimes referred to as and/or anglicized to Zealand, but is not to be confused with the Danish island.

https://en.m.wikipedia.org/wiki/Zealand#Etymology