I haven't been able to find any reference to a Bridge End in Appleby Magna.
By the 1901 census Charles Bates was listed as living in Church Street, so he obviously did move. But in 1891 (before the announcement) be was living in Duck Lake, which had previously been know as Duck Paddle, or simple The Lakes.
If you travel up Duck Lake you cross over a small bridge and the lane opposite is called Old End. Maybe he lived at the bridge end of Duck Lake.
Long shot - is it possible that Bridge End was the name of his house ?
Hello, I am answering the question "Bridge End". I am Anne (Bates) SILINS. I was born in Appleby Magna in 1937. I live on Vancouver Island, Canada. I came to Canada in May 1951 with my parents Margaret (nee Sutton of Snarestone) and Charles Rowland BATES. I was very close as a child to my Grandmother Annie Agnes (nee Rowland) BATES. Over the years she would write to me in Canada many letter about the family history, these letters helped me write the five stories for the Appleby web site. My Great Grandfather Charles BATES and his wife Ann (nee Nicklin), when in their early forties returned from a voyage to Australia where he has visited his brothers. They returned to Appleby Magna. Family stories tell us that they started a shop out of their home which was in the Duck Lake area. That shop did well and they then moved to the middle house in the row of houses which are beside the driveway entrance to the Moat House. I can remember well visiting this house as a child and there was a drain hole in the middle of the kitchen floor which drained straight into the brook. The brook ran under these cottages. This area I believe was known as Bridge End. As a child I have also heard it called Brook End, could it have had two names. This shop did well and then Charles Thomas BATES, my Grandfather, moved to Church Street where he had the shop, their home and a bakery behind the house. There was also a butcher's shop which was across the driveway entrance in a small one story building.