Well of course, tartans are only a bit of fun. Not only do most people use tartans of families they have no proven descent from, but most tartans themselves are in fact recent inventions. So while the real answer to: "What tartan should be used?" is: "Whatever you like", there is in fact a provable question here which could be interesting, which is: "Does the family actually descend from any clan?"
There is a tartan used on the Noltie side:
On the other hand, the Gibbon family is provably descended from many Scottish clans:
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