Lymm is in the registration district of Altrincham
Could this be William's birth entry - haven't checked any of his siblings
TAYLOR, WILLIAM mmn HUGHES
1897 J Quarter in ALTRINCHAM Volume 08A Page 201
possible marriage entry of parents
Jun 1885
Hughes Mary Martha Altrincham 8a 271
MILLER Emma Altrincham 8a 271
Stubbs Elias Altrincham 8a 271
TAYLOR William Altrincham 8a 271
Edit
1891 census
Mostyn Street Lymm
William TAYLOR Head 1863 Cheshire occ Gen Labourer
Mary M Taylor Wife 27 1864 Fustian Cutter Cheshire
Sarah C Taylor Daughter 1885 Scholar Cheshire
Lilly Taylor Daughter 1886 Cheshire
James Hy Taylor Son 1889. Cheshire
??n HUGHES ? Widow 1833 Charwoman Lancashire
RG12 Piece number 2827 Folio 131 Page 46