Searching for the Kills of Southampton

Annette Sarah Kill was born on 25th November 1880 at 22 Liverpool Street, Northam, Southampton. Her mother was Elizabeth Charlotte (Chalcraft) Kill and her father was George William Kill a baker. Annette had two older sisters, Harriet Elizabeth born in c1875, and Ada Louise born in 1878. They were all baptised together on 10th March 1882, along with their two cousins Christine and Edith Willoughby the children of their mother's sister Harriet.
In August 1883 when Annette was 2years 9mths old her mother died, and George married again about two years later, to Alice Singleton, and moved to his new wife's home in Droxford.
The census of 1891 shows that two little brothers had been added to the family, Walter William aged 3 and Edward John aged 1. Sister Ada aged 12 was still at home but big sister Harriet was in lodgings and earning her own living. Little Annette was staying, at least on that day with her Grandmother Elizabeth Kill who was then 79 and very deaf, in Southampton. Shortly after the census was taken tragedy again struck the family when the two little brothers both died at about the same time, and in the early part of the following year their mother also died.
It appears that Annette remained living with her grandmother, as in 1901 she was present at the old lady's death aged 89 and informed the register officer. She then went to live with her father's sister Annette who had married Joseph King, a taxidermist in Compton Walk Southampton, and while she was there she met and married her husband Edward Beston, a Londoner who was a soldier in the RASC stationed in a temporary barracks in the docks, but returned to civvy street soon after their marriage.  Their first child was born in Compton Walk, but shortly afterwards Edward took his family back to London, where he and Annette made their home until their death.
Annette's father George William Kill declared on his marriage certificate that his father was George Kill a builder.  No mention of this George has ever been found on the records except on the 1841 census when he was a plasterer. George William's mother was the former Elizabeth Oxford, and lived throughout her long life in Southampton, but her husband never appeared on the census forms at her address. The whereabouts of young George before 1861 are also a mystery, and there is no information yet found about his or his sister's birth.
Annette's mother Elizabeth Chalcraft was the daughter of Edward Chalcraft. Not much is known about this family, except that Elizabeth had a sister Harriet who married Edward Willoughby. George and Elizabeth's oldest daughter Harriet married a Samuel Stevens. There has been no trace found of Annette and Harriet's sister Ada Louise, last heard of aged 12 on the 1891 census.
Annette Kill's grandchildren are all living in Romsey. They would be pleased to hear from anyone who knows anything about their grandmother who died before they were born. She was said to have had relatives in Netley. There may be descendants of her sisters and the Willoughby cousins, and the children of Joseph King the taxidermist still living around Southampton. Elizabeth Chalcraft may have had other sisters and possibly brothers, and their descendants may still be around the area. There were other Kill families living in Southampton in the 19th century, at the same time as George William Kill the baker. they could have also been related. There was a George Kill a bootmaker, and a William Kill a mariner. 
Any handed down family legends or info from other "trees" would be most welcome. Especially valuable would be photos.