The GRO index mentions her birth as occasional copy

EAMER, LILY CHARLOTTE ELLEN HOLLOWAY
GRO Reference: 1903 March Quarter in EASTHAMPSTEAD Volume 02C Page 406
Occasional Copy: B
also siblings
EAMER, FREDERICK WILLIAM HOLLOWAY
GRO Reference: 1907 June Quarter in EASTHAMPSTEAD Volume 02C Page 433
EAMER, DOROTHY VIOLET HOLLOWAY
GRO Reference: 1909 June Quarter in EASTHAMPSTEAD Volume 02C Page 415
In Wokingham reg districtEAMER, WILLIAM GEORGE HOLLOWAY
GRO Reference: 1911 June Quarter in WOKINGHAM Volume 02C Page 372
So they moved between the birth of Dorothy 1909 and William 1911