I couldn't find a Lillian Neilson either but I found this, not sure if it is her but it could have been wrongly transcribed - worth a thought anyway - 1891 census
RG12 2375/121/10
3 Orchard Terrace, Edgleston, Birmingham
Henry E Nelson head age 28 Baker
Jane " wife 23
Lillian Irvie dau 4
Joseph A son 3
Constance dau 1
______ " son under 1 month?
