I'm afraid I don't know about 'your' Audrey Bye but have been doing a one-name study of Bye's for over 20 years.
I have checked my birth/marriage/death records for England & Wales and found 3 Audrey Bye's born in the 1920's in England.
1. Audrey D Bye (born S1921 in Kings N Registration District - an area near Birmingham.) She could have been Audrey Doreen Bye but I think she is unlikely to be 'yours' as she appears to have stayed in the Birmingham area.
2. Audrey N Bye (born M1926 in Cricklade Registration District (Wiltshire). She possibly married Ronald V Grech in Brent Reg Dist in D1965? As Brent is an area near London she is a possibility. This Audrey was the daughter of Alfred E Bye & Edna N (nee Woolford). She appears to have beeen an only child.
3. Audrey G Bye (born D1928 in Pancras Registration District (London). She probably married Charles T F Robertson in East Ham Reg Dist (London) in M1958. This Audrey had a brother Peter (1932) and a sister Shirley (1937). She was the daughter of Thomas B Bye & Elsie I (nee Peterson). Although all these events took place in or near London perhaps this Audrey was too young?
Well, I hope something amongst the above rings some bells and you have success with your quest.
Please don't hesitate to come back to me with any other questions, I will be only too pleased to try to help.