The Flemish word for rabbit is 'konijn'. The name 'conine' resembles it closely enough to make it originate from 'konijn', but there is another possibility. My Dutch/Flemish dictionary shows the word 'coniine' , which was a poison made from a herb....

co·ni·i·ne

/koniin«/
de (v.)

(1886) gevormd van Gr. koneion (dollekervel, de daaruit gemaakte gifdrank)

eerste editie 1864

(stofnaam)

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Note added at 18 mins (2006-05-12 16:15:50 GMT)
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I meant: resembles it closely enough to make it POSSIBLY originate from konijn.

We call Roger Rabbit just Roger Rabbit... there is no translation. Same thing with Donald Duck and Mickey Mouse... they remain Donald Duck and Mickey Mouse. And Jeff Conine is just Jeff Conine... even though 'Conine' and 'konijn' are pronounced somewhat the same.