There is a Family History Centre in Mallorca - they are worldwide.

See: familysearch.org/locations/centerlocator

Centro de Historia Familiar Palma de Mallorca España (Palma de Mallorca Spain Family History Center)
C Angel Guimerá 55PALMA DE MALLORCA, BALEARIC ISLANDS 07004 SPAIN
+34 96-393-4803
⇄Directions
◍Website

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