Is it right, please?

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Not at all. Do you mean this?--

We have caught ourselves a fish.
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Hi, Mister Micawber

Thanks for answering me. Yes! This is the idea: to catch a fish by using a rod. But by the way why is the sentence not completely right in its meaning when I use the verb to fish?

To fish - fish - fish = to catch a/some fish. e.g. "We have fish ourselves a fish" .

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To fish does not mean to catch fish. You can fish all day and catch nothing.

And it is not fish-fish-fish; it is fish-fished-fished.
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Mister Micawber,

Thank you very much for your precious help.

Best wishes,
Susan