In 1901 the Emily I found, right age, born right place in Kirkdale may or may not be the right one, however some of the names of the children are right, unless you have more exact DOB's and the father's name Samuel makes me wonder, also the lodger's name ... have you considered two marriages? or you might have the mother's name incorrect. Do you have Emily's birth certificate which will confirm both names?
RGRG13/3471 West Derby, Kirkdale Folio 163 Page 43
12 Leith Terrace, Kirkdale
Samuel Robinson Head M 30 Timber Carter Cheshire Birkenhead
Mary E Wife M 31 Lancashire Bootle
Ellen daur 9 " Kirkdale
Jane daur 4 " "
Emily " 1 " "
Joseph Hall Lodger Wid 73 Retired Watchman Lancashire Pilling
If you are positive about the month and year of Emily's birth then this seems the likely reference:
March Quarter 1900 West Derby Lancashire 8b 437
You can order the full certificate from
www.gro.gov.ukHope this helps.
Mary