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The signature of the marriage entry of the Tottenham parish church register in 1900 is very clearly written as
Lilly Maud Semmens
The witness James also signs Semmens.
Her birth registration is of course a clerk writing the name but it appears from the evidence of their marriage both her parents were literate so would be able to spell out their surname.
Birth registration
Births Dec 1881
SEMMENS Lillie Maud Edmonton 3a 257
and death registration (which of course she wouldn't have registered)
Lilian M Catherall aged 67
1949
Ilford
Volume 5a
Page 519
Her parents marriage taken from the actual parish register
All Hallows, Tottenham 25th April 1880
William James Semmens 28 Bachelor Labourer Tottenham James Semmens Labourer
Susan Vincent 26 Spinster Tottenham John Vincent Labourer
Both signed (William James clearly as Semmens)
Witnesses Mark Semmens and Ann Semmens (clearly signed Semmens)
The 1901 census was copied by the census enumerator from the household schedule written by someone in the household
1901 census RG13 1248 folio 24
19 Hope Place Tottenham
James Semmens 47 Head Married Labourer at Gas Works Pulham Market Norfolk
Susan Semmens 45 Wife Married Pulham Market Norfolk
William Semmens 16 Son Hairdressers assistant Tottenham Middlesex
Frederick Semmens 12 Son Tottenham Middlesex
Kate Semmens 9 Daughter Tottenham Middlesex
Bertie Semmens 3 Son Tottenham Middlesex
The 1911 census only has the household schedule, so that will be the family's writing of their surname. The census index gives William James Semmens. You will have to look at the actual written household schedule to see whether the surname is indexed correctly.
http://www.1911census.co.uk/The 1911 census index gives Lilian Maud Catherall living in the Romford area.
PH Reaney A Dictionary of British Surnames gives the derivation of Catterall as this
Robert de Caterell 1222 (Coroners Rolls Hampshire); John de Caterhale 1332 (Subsidy Rolls Lancashire); Lawrence Cattrall 1462 (The Calverley Chaters Yorkshire); Richard Caterall 1500 (Register of the Freemen of York). From Catterall (Lancs) and, apparently , also from a place in Hants with a second element -
hill. William
Katerel 1203 (Assize Rolls Staffordshire) suggests also a pet form of
Caterin.
Ordinary people (nearly all the original Saxon population - except the Norman nobility and the wealthier classes which some of us do descend from) adopted fixed surnames by about 1400. One of the ways they chose a surname was from the place they lived at that time.
http://www.bbc.co.uk/history/familyhistory/get_started/surnames_01.shtmlRegards
Valda