Hello, Guest. Montserrat is a Catalan name meaning ‘serrated mountain’. That may not be the most appealing meaning, but the exceptional beauty of the Montserrat mountain range near Barcelona, Spain might change your mind. Montserrat is, unsurprisingly, most common among the Spanish community.ello, Guest. Montserrat is a Catalan name meaning ‘serrated mountain’. That may not be the most appealing meaning, but the exceptional beauty of the Montserrat mountain range near Barcelona, Spain might change your mind. Montserrat is, unsurprisingly, most common among the Spanish community.