As far as I know, the first Shout to become a Quaker was Major Shout (1816 – 1888) who applied to join the Darlington Meeting in 1844 and was finally accepted in 1846. In 1847, he married Ann Mason, born in Beighton Derbyshire, who came from a long line of influential Quakers so perhaps she was the reason for his wish to join the Friends
Major and Ann had six children that I know of:-
Major Mason Shout (1848 – 1869)
William Shout (1850 – 1924) married Minnie Jane West (1855 – 1909). Minnie was born in Sydney, the daughter of Theodore West who was a leading figure in the Darlington meeting of Friends and is mentioned in various articles on the early railway development including the Stockton to Darlington. William farmed at South Cowton at Cowton Castle and also served on the Northallerton town council. His children founded branches of the family in South Africa, Canada and USA.
Sarah Ann Shout (1852 – 1924) married Arthur Eddington and was the mother of the world famous astronomer and physicist Arthur Stanley Eddington who confirmed Einstein’s theory of relativity. Details of his illustrious career can be found on Wikipedia and other web sites including this one for his obituary .
Elizabeth Mason Shout (1854 – 1931) married Robert Brearley Oddie who was a teacher at the Ackworth School, the Friends boarding school in Yorkshire. In 1881 he became the Superintendent of the Friends School at Sibford near Banbury in Oxfordshire. The school is still operating and details can be found here. Paul Eddington the late actor was a pupil at this school.
Jane Shout (1857 – 1947) appears never to have married. She died at Home Farm, Sibford Ferris where she appears to have lived with the Wealsby family
Gulielma Shout (1859 – 1933) married John Lamb also a farmer at Sibworth Ferris.