This pub has been mentioned before on the forum. Here are some comments I made about it then:
In the 1841 directory George Jones is listed in Lichfield st (no number given) as just veterinary surgeon and livery stables. By 1845 and 1849 it is George Jones, car proprietor and pub landlord at the Farrier’s Arms. By 1855 his son Henry Jones has taken over , he also being publican, vet and car proprietor