Source: Michael Doyle Their Name Liveth For Evermore: The Great War Roll of Honour for Leicestershire and Rutland.
He was the son of William and Sarah Allbright. The 1911 census records, William Allbright, Head of the family, married 29 years and a Chargeman Signal Department, born 1861 in Northampton, and his wife Sarah, born 1862 in Melton, Northamptonshire. The children were William, a Labourer, born 1886 in Rugby, Warwickshire, Thomas Whiting, a Clerk, born 1889 in Rugby, Warwickshire, Robert Henry, a Clerk, born1892 in Rugby, Warwickshire, Elsie Marguerite, a Machinist, born 1896 in Rugby, Warwickshire, Albert, a Schoolboy, born 1898 in Market Harborough, Leicestershire, Sidney, a Schoolboy, born 1901 in Market Harborough, Leicestershire and Frederick Howard, a Schoolboy, born 1906 in Market Harborough, Leicestershire. The family were residing at 4, Gladstone Street, Market Harborough, Leicestershire. The War Diary entry for events from the 15th to the 21st November 1916 record. HOHENZOLLERN SECTOR. Battalion relieved 8th LEICESTERSHIRE REGT. in front line. 16th November draft of twenty other ranks joined Battalion. Two men killed, 2nd Lt. SCARFE and four other ranks wounded.

Source: Leicestershire War Memorials Project.
The death of Private Albert Allbright was reported in the Market Harborough Advertiser on November 28, 1916:

'There is sad news of two more Harborough men killed in action – Private Albert Allbright of Gladstone Street, Market Harborough and Second-Lieut Walter Elliott, who used to work for town retailers Shindler and Douglass.

Nineteen-year-old Allbright of the 7 th Leicesters, who had previously worked at Messrs R and W H Symingtons, was killed just over a year after joining up.Field Chaplin the Rev J Dyson says: “He was struck by a bursting bomb and very severe wounds in the abdomen and thigh gave him no chance whatever. He was taken to the dressing station but expired in a few minutes.”His parents were given some crumbs of comfort by the chaplain. “I was asked to make arrangements for his funeral in the British Cemetery. The grave is well marked and tomorrow a wooden cross with metal plate giving name and full description of our brave young comrade will be erected. After the war the place can be easily visited if you desire.”'
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Source: https://www.harboroughmail.co.uk/news/john-dilley-s-wwi-blog-convicted-for-talking-favourably-about-the-kaiser-in-the-pub-1-7698273
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Photograph courtesy of A. Garford 2020