Yes, they are one and the same but I haven't managed to find the relationship between the two names.
The "Royal Rock Beagle Hunt" was based at "The Rock Ferry Hotel" and perhaps this was the start of the name change.
Nethaniel Hawthorne refers to both names in the same text, which would imply they are separate entities, but the description and location appear to be identical.
In a time of universal deceit - telling the truth is a revolutionary act. George Orwell
When the debate is lost, slander becomes the tool of the loser. Socrates