Name for the New Netherlands after a successful war of independence?

In a TL where the New Netherlands survives, then undergoes a successful war of independence, what would they change their name to?
 
In a TL where the New Netherlands survives, then undergoes a successful war of independence, what would they change their name to?
Good question. I always wondered about that too. Things I came up with were Columbia, Batavia, Nova Belgica/New Belgium. The last one because Belgica/Belgium was used as a synonym of the Netherlands.
 
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