I don't think that 1911 workhouse entry indicates a child's presence. I think "Sick" was just the 8th type of diet
http://www.workhouses.org.uk/life/food.shtmlThere is another workhouse admission in 1926, and it gives her birth year as '70, but '60 has been crossed out. She is homeless, with no known family.
Here is a summary
Record type B-year Birthplace Name
Birth 1861 Breeding Balaclava Elizabeth Tucker
1871 census 1862 Breding Balaclera Tucker
1881 census 1863 Beeding Balaclava Tucker
1891 census 1865 Beading Balaclava Hounson
1901 census 1863 Brighton Balaclava Monk
1901 wkhouse 1863 Balaclava Monk
1911 census 1867 Beeding Balaclava Monks
1926 wkhouse 12.7.[60]70 Balaclava Monk
Death 1928 1871 Balaclava Monk