Thanks for the reply Casalguidi. Particularly the information on Lemintina which would make more sense of the unusual name Lemmey. Plus Emily sounds similar enough for her to be known as/mistaken as afterwards and you don't need to show your birth certificate to register a child's birth I think
1901 Census: Bottom Barn, Court Farm, District Godstone
Noah Gardner age 50, FieldLabourer
Richard Gardner, 6; Sarah Gardner, 3; Harry Gardner, 8; Jane Gardner, 16
All listed as born Croydon, Surrey
1891 Census: No 6 Simmons Cottages, Parish of Mitchum, Rural District of Croydon (not listed as gypsies)
Noah Gardner age 40, Hawker
Clara Gardner, 38
Caroline Gardner, 15; Elizabeth Gardner, 13; Henry Gardner, 6 months; Jane Gardner, 6; Leman (?) Gardner, 3 (girl); Mary Ann Gardner, 10.
Birthplace given as all born in Carshalton, Surrey
Found on BDM - Elizabeth Gardiner born Jun 1878, Epsom, Surrey
Mary Ann Gardiner born Jan/Feb/Mar, Epsom, Surrey
Henry William Gardiner, born 1890, Croydon, Surrey
Am assuming 1891 family are same family as found in 1901 because of Noah and Jane. Caroline, Elizabeth and Mary Ann would have been old enough to have left (Lemmey/Emily married at 20) However they would still have to have lost 2 children Leman and Henry (unless Henry is Harry and the age is 2 years out)