ðə nˈeɪm ɐpˈɪɹz tə dᵻɹˈaɪv fɹʌm ˈoʊld wˈɛlʃ bˈɛɹ ænd mˈʊɹ ɔːɹ pɹˈɑːmɔntɚɹi, aɪdˈɛntɪkəl tə mˈɛlɹoʊz ɪn skˈɑːtlənd.
The name appears to derive from Old Welsh  'bare' and  'moor' or 'promontory', identical to Melrose in Scotland.