I searched for the meaning in Japanese (googled ) and got the following:
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From this, I feel that it is safe to assume that by 'long face' they were talking about the physical shape of the face, not the English idiom.
For more information, I'd look at the following page:
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Especially with regards to the second source I've included, it should be noted that this term is considered to be a jeering comment. Not that this is part of your question, but I would **NOT** use it to describe your significant other or close friends.