Samuel was the son of Albert Oliver and his wife Alice (née Newman).
His father Albert was born in 1869 at Barton in Fabis, Nottinghamshire, the son of Henry and Mary Oliver. His mother Alice was born at Radcliffe on Trent, also in 1869, the daughter of Charles and Ann Newman.
Albert and Alice were married in 1892 (reg. Nottingham) and had eight children by 1911 of whom three had died in infancy. Their eldest child, Samuel, was born before their marriage and his birth was registered in the surname Newman although he later used the surname Oliver. Their five surviving children were Samuel b. Radcliffe on Trent 1892, Annie b. Barton in Fabis 1897 (reg. Derby), Gertrude May (May) b. Barton in Fabis 1900, Arthur William (k/a William Arthur) b. Derby 1901 and Norah b. Kegworth 1908. Samuel and his sister Annie were both baptised at Derby St Andrew in September 1898; the family was then living on Harrow Street, Derby. Another daughter, Vera, was born in 1913 (reg. Loughborough). The three children who died in infancy were Ernest b. 1893 (reg. Bingham) d. 1895 (reg. Nottm), Lilian b. 1895 (reg. Nottm) d. 1896 (reg. Bingham) and Gladys b. 1905 d. 1905 (reg. Shardlow).
In 1891, the year before their marriage, Albert, a blacksmith, was living in West Bridgford, Nottingham, with his father Henry, also a blacksmith, his mother and three siblings. Alice and her son Samuel (Newman) were living in Radcliffe on Trent, with her parents Charles, a farm labourer, and Ann, and her two sisters.
By 1901 Oliver, a striker (railway), and Alice were living on Harrow Street, Shardlow, with their three children Samuel, Annie and May. Also in the household was a boarder, Arthur Marriott, who was also employed on the railway.
In 1911, Samuel, a farm wagoner, was working for Thomas Butter, farmer, and living with his employer and his family at Spring Farm, Mapperley Plains, Nottingham. Samuel's parents and their four children Annie, May, William and Norah, were living in Barton in Fabis where his father was working as a farm labourer.
Samuel was employed as a carter by a Southwell company when he attested in 1914. His parents had by then moved from Barton in Fabis to Forest Street, Shepshed.
Albert Oliver completed a form for the Army in 1919 listing his late son's surviving blood relatives. He named himself and his wife, their son William and daughters May, Norah and Vera, all of Forest Street, Shepshed, and their married daughter, Annie Gee, of Main Street (place illegible), who had married John W Gee in 1918 (reg. Loughborough).
Albert probably died in 1933. In 1939 when the England & Wales Register was compiled, his widow Alice was living at 54 Forest Street, Shepshed, with her unmarried daughter May; the record of one other member of the household remains closed. Alice died in 1951.