Lawrence was the eldest son of Thomas and Elizabeth Gamble (née Smith).
His father Thomas was born in Clayworth, Nottinghamshire, in 1860, the son of Lawrence and Sarah Gamble. His mother Elizabeth was born in Normanton on Trent, Nottinghamshire, in 1861, the daughter of John and Sarah Smith.
Thomas and Elizabeth were married at Huddersfield Holy Trinity, Yorkshire, on 23 June 1890. Thomas, a telegraph wireman (railway), was living in Ordsall, Retford, while Elizabeth was living in Huddersfield. They had three children who were all born in Retford: Lawrence Ernest b. 1891, Frederick Kirkby b. 1893 and Sarah Alice b. 1894. All three children were baptised at Retford St Swithun, Lawrence on 19 April 1891.
Thomas and Elizabeth lived on Albert Road, Ordsall, after their marriage, and were still living in the town when their daughter was baptised in September 1894.
However, by 1901 the family had moved to 76 Ashton Road, Dukinfield, Ashton under Lyne, Cheshire, but by 1911 was living at 66 Guide Lane, Hooley Hill, Audenshaw, Lancashire. Thomas was a telegraph linesman in the employ of the Great Central Railway as was his son, Frederick, a railway coach shaper and Sarah was working as a felt hat trimmer. Lawrence, who was now 19 years old, had joined the 2nd Dragoon Guards (4867 Private) and was with the Regiment in Aldershot (Wellington Lines).
Both Lawrence and Frederick's military records name their father, Thomas, of 14 Greasham Road, Neasden, London, as their next of kin. However, Thomas and Elizabeth lived for some years in Nottingham, possibly moving there from London.
Elizabeth died in Nottingham on 2 November 1918 and was buried there. Her daughter Sarah was married in Nottingham in 1920 (J/A/S) and Frederick, who also served in the Great War, was discharged from the Royal Tank Corps in 1923 to 10 Ferriby Terrace, Glapton Road, Meadows, Nottingham (see 'Extra information'). The electoral rolls show that Frederick and his father lived at this address from at least 1919, Thomas until about 1921 and Frederick to at least 1923, while Reginald Watson, who married Sarah Gamble in 1920, also lived there between 1921 and at least 1924. Members of the family therefore continued to live in the parish of St Faith's (North Wilford) long enough for Lawrence's name to be nominated for the parish war memorial.
Thomas Gamble died on 12 May 1938 (reg. Towcester) aged 78 and was buried in London Road Cemetery, Stony Stratford, Milton Keynes.
Sarah Alice and her husband Reginald Richard Watson, a railway carriage finisher, who had lived at 10 Ferriby Terrace, Glapton Street, Meadows, Nottingham, for several years after their marriage, were living in Towcester in 1939 when the England & Wales Register was compiled. They had moved to Wolverton, Buckinghamshire, by the time of Sarah's death on 26 July 1947.
Frederick married Elsie Cheney in 1926 (reg. O/N/D Newcastle, Staffordshire). Frederick, an assistant signal and telegraph linesman, his wife and daughter Alice were living in Hawarden, Flintshire, Wales, in 1939. He died in Hawarden in 1963 and was buried in St Asaph's churchyard.