Rebecca Coriam vanished from the Disney Wonder as it sailed along the Mexican Riviera.
The 24-year-old organised children’s activities on the vessel and was last seen on board early on the morning of March 22.
Currently, inquiries into incidents at sea are held by police from the country where the ship is registered – the Bahamas in the case of the Disney Wonder.
Mr Coriam, 57, from Chester, said: ‘We don’t blame the police in the Bahamas – they obviously haven’t got the resources.
‘We only know of the one officer on the case and only one officer went on to the ship to do the investigation.