The only way to tell for sure would be to purchase the two certificates to see if the mother's details are the same.
The mother of Elsie Emily as given in the 1901 census, Ilketshall, St Margaret is Mary Ann Elizabeth Watling. She is single and a charwoman and it says feeble minded.

She also has a 19 year old son.
The strange thing is there is no sign of Emma Maria in 1901 and as far as I can see no sign of Elsie Emily in 1911, using the free search she is not with her mother. The Emma in 1911 was born in Ilketshall, St Margaret. It's almost as if they are one and the same person.

Jan