Hi
Elizabeth Dowsett had two children registered in Epsom registration district. Their birth certificates would tell you whether their births took place in the workhouse (though by this date only workhouse addresses were given on birth certificates). Epsom workhouse address was Middle House, Dorking Road, Epsom.
Births Sep 1907
DOWSETT Alfred James Epsom 2a 28
Births Dec 1909
DOWSETT Irene Maud Epsom 2a 20
Dowsett Irene Maud Epsom 2a 23
As Alfred James Dowsett was born sometime in the September quarter of 1907, it would be tight time wise for the same woman to have a baby girl born in Moulsham Chelmsford in 1907. Do you mean 1903?
Births Mar 1903
Dowsett Frances Chelmsford 4a 706
Surrey History Centre hold the records for Epsom workhouse, so anyone offering a lookup would have to look at the registers there.
Surrey History Centre, 130 Goldsworth Road, Woking, Surrey GU21 6ND. Holdings include Guardians' minutes (1836-1930); Admissions and discharges (1840-1932, with gaps); Births (1838-9, 1914-31); Deaths (1838-9, 1922-44); Creed registers (1881-1941); etc.
There doesn't appear to be an Elizabeth Dowsett death registration in Chelmsford civil registration district between 1901-1911.
Regards
Valda