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First think to find out is of the name is Taiwanese Chinese or from a Taiwanese Aboriginal language. Identifying the language is the most important part of etymological work.

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For Chinese names the standard procedure is to identify the Han characters used for writing the name and reporting their meanings. Note, that a simplified Romanisation ignoring tone usually merges several different Chinese names into one.

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For Aboriginal names you need dictionaries of the source language to identify a meaning.

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This is all I can help here.