Are you sure her name was Ada 
Frances?
Yorkshire bmd had a birth registration for    Ada 
Florence LYON   Myton Hull    1858
and the GRO reference is Sep 1858  Hull  9d   173  Ada Florence LYON    
Possible marriage for parents:
on Yorks bmd  -  1853  Jno Dickon LYON   Harriet Emma WATSON Holy Trinity    Hull
GRO ref  Mar 1853  Hull    9d   295   John Dickon LYON    Harriet Emma WATSON   
from Yorksbmd:
 Minnie's birth: 1885  LYON   Minnie   Leeds West   Leeds
Ada's marriage  1887  LYON Ada F   FITZPATRICK Gildas F     Hunslet District Registered Building   Leeds     
You can download forms to order the certificates if you wish to buy them, through the Yorksbmd website  
www.yorkshirebmd.org.uk  or order them online through the General Register Office website 
http://www.gro.gov.uk/gro/content/certificates/Barbara