For the House name, I think this may need more research and to see whether the house name was changed, or even changed back to an old name.
I absolutely agree it needs more research. Figuring out the route the census enumerator took is probably the best bet, as the folks listed are actually living there. All over the UK I can find articles on City Councils approving name changes for homes, but not a peep from Shardlow.... so frustrating! In 1841, Mary, the widow of James Sutton, called her home "villa" on the census, but it was down by the Quay area. There was a Grove House near the Pub across from Matt's, but years later (or earlier, I can't remember now), it was down by Moorside. I'm pretty certain all these folks knew that Matt would be along in a century and a half wanting to know, so they traded/dropped/changed their house names, and are all giggling in their graves. So the hunt goes on.
As for the article on the shooting:
Derby Daily Telegraph 29 June 1914 (page 3)
Title: Fatal Accident to Dr. Hogg
The article is of the inquest, held at Dr. Hogg's house, by Mr. W.R.H. Whiston, deputy coroner. It seems that the main question was whether it was accidental, or intentional. Dr Hogg often hunted, and always cleaned his own guns.
The first witness was Miss Hogg, daughter of the deceased identified him, and gave his age as 45. She states he was cheerful when he set out to hunt rabbits, and saw him carrying a gun, around 10 a.m.. She saw him cross a field, and a while later heard a shot. She saw him returning home, and shortly after heard a shot from his surgery, where she hurriedly went to, and found her father lying on top of the gun. He told her that he was cleaning his gun, and it accidentally went off. Miss Hogg telephoned Dr. Turpin of Alverston to come.
The second witness was Arthur Hudson, the gardener. He saw the Dr. before he went out, as the Dr. passed the coach-house where Arthur was working. A while later, Arthur heard one shot, and then saw the Dr. return, who told him he missed the rabbit, and to get the motor ready so he could do his rounds. Dr. Hogg appeared to be in his normal mood. Within five minutes, Arthur heard a shot in the surgery, and ran there immediately, where he found Dr. Hogg lying on the floor, bleeding and moaning. Dr. Hogg told him that he was cleaning his gun and it went off. He helped the Dr. up but he lied back down on the floor.
Third witness was Police Constable Wright, of Shardlow. He arrived around 11:30, after Dr. Turpin had attended Dr. Hogg. The constable found two guns; one had two spent cartridges but did not appear to have been fired for several days, and the other had a recently discharged spent cartridge in the right chamber, and the left chamber was empty. The gun only required a very light pull to discharge. There was bloody clothes and a pool of blood on the floor. He examined the clothes and traced the course of the shot to the ceiling, where it had entered the ceiling.
Fourth witness was Dr. Turpin, who said upon his arrival he found Dr Hogg lying on his back suffering a severe hemorrhage, but was conscious. Dr. Hogg told him he was cleaning his gun and it went off. Dr Turpin's examination found a circular wound in the side, with the shot passing out his back below the ribs. He concluded that the gun barrel must have been very close, if not touching, the body when the weapon was fired. He was with Dr Hogg when he passed away. He believe that Dr Hogg was in good health, and had no special worries, and was cheerful when his saw him last.
The Deputy Coroner concluded that the Dr must have forgotten it was loaded, leaned on the muzzle while cleaning the gun, as the state of the clothes testified, and as it was easily fired went off accidentally.