Many thanks Yes the Gunsmith's Arms is also one of "mine" but I don't think it was the New.
As far as we have been able to find Robert Heard was a Gunsmith as was his father. His address in 1850 was the Gunsmith's Arms and he is eight houses from his father in both 1841 and 1851 so I think he was in the same house(unnamed) in 1841 which has become the Gunsmith's Arms between the censuses. It looks like Robert Jnr has used his house as a place to entertain his clients while they wait for him to repair a gun and I don't think it was ever the "New" .
As you say there were dozens of front parlour beer houses set up after the The Beer Act of 1830, was to popularise beer and cider at the expense of spirits, especially gin, which had become the ruination of many poor families. Beer would normally be brewed on the premises and, whilst its sale provided a useful addition to the family income, it would not on its own be sufficient to provide a living for the family and so the man of the house would invariably have a full time occupation as well, as in the case of the Gunsmith's, Robert was never entered on a census as anything other than a Gunsmith.But we know the New existed before the act, so was it in the same class?
Will keep looking I wonder if it is shown on any old maps? Worth a look.