LYD,
No that's not the right Premier Inn. The one you want is further along the the A4 Bath Road to the East. On your map, its about three miles from Premier Inn you have highlighted.
On the map, follow the A4 east until you find LUXURIA BEAUTY SERVICES marked on the map, on top of what looks like three large squares joined together. Those three squares are the Premier Inn. The next small road on the right, is CRANFORD LANE.
Hope this helps.