James Norton Sherrington

James Norton Sherrington, a country doctor, and his wife Anne Brookes, née Thurtell,[

Charles Sherrington and his brothers, William and George, were in fact almost certainly the illegitimate sons of Anne Brookes Sherrington and Caleb Rose, an eminent Ipswich surgeon. 

Caleb's father, Caleb Burrell Rose, was indeed a country doctor (in Swaffham, Norfolk) and was also a well-known amateur geologist who published the first geological study of Norfolk.

James Norton Sherrington, Anne Thurtell's first husband, was an ironmonger and artist's colourman in Great Yarmouth, not a doctor, and died in Yarmouth in 1848, nearly 9 years before Charles was born.

The births of the three Sherrington boys do not appear to have been officially registered. They were all baptised on 17 July 1863 in the parish church of St James, Clerkenwell.

No father's name is supplied, and their mother's address is given as 14 College Terrace, Islington. In the 1861 census the occupants of this house were listed as Anne Sherrington (widow), Charles Scott (boarder, 4, born India), William Stainton (boarder, 2, born Liverpool), Caleb Rose (visitor, married, surgeon) and his 11-year-old son Edward Rose, who was also described as a boarder. During the 1860s the whole family moved to Anglesea Road, Ipswich, reputedly because London exacerbated Caleb Rose's tendency to asthma,[19] and appeared in the census there in 1871, but Caleb and Anne were not actually married until the last quarter of 1880,following the death of Caleb's first wife, Isabella, in Edinburgh, Scotland, on 1 October 1880.

https://en.wikipedia.org/wiki/Charles_Scott_Sherrington