Hi,
Just read your post. My 2nd Great Grandfather was John Nuttell (Born 1837.) However, the only information I have regarding his interest in the Cliff Hotel appears in the 1881 census, where this is recorded as his residence, along with his profession of 'Hotel Keeper.' I do have a photograph of the hotel from the 1950's if you're interested, but would suggest that you try to contact RedRed28 who initiated the post, as I believe she has some crockery with the hotel crest on it.
Regards,
Mike