I have exactly the same issue with it in Wellington, NZ.
Even with "New Zealand" turned on at the top, it gives me quite a few results for things in Wellington, Florida.
If I don't specify "Wellington" or "NZ" in the search terms, results are even worse, even with "New Zealand" turned on: I get results from Australia, Dubai, even the UK for various search terms. (and some of the TLDs are things like "com.au" or ".co.uk" so it should be trivial to filter those out.)
Google's not perfect in this regard, but it's an order of magnitude better in my experience for localised queries, even with both in Incognito/Private mode.
Even with "New Zealand" turned on at the top, it gives me quite a few results for things in Wellington, Florida.
If I don't specify "Wellington" or "NZ" in the search terms, results are even worse, even with "New Zealand" turned on: I get results from Australia, Dubai, even the UK for various search terms. (and some of the TLDs are things like "com.au" or ".co.uk" so it should be trivial to filter those out.)
Google's not perfect in this regard, but it's an order of magnitude better in my experience for localised queries, even with both in Incognito/Private mode.