Some suggestions - but they are very much dependant on how common her name was. If it was something like Mary Smith or Mary Jones - forget the following and go down the DNA route

Look for a birth for her using
www.freebmd.org.ukLook for a marriage after the 1957 birth using freebmd
You may possibly find her on the 1939 register but this depends on whether she is deceased and whether her entry is visible
If she married - and if her 1939 entry is visible - it may have her married surname
Although the birth was at Dorris Court - is there an actual address for her on the birth cert when the birth was registered. If so - you may be able to find an electoral register entry for that address to see who the occupants were