Title deeds seen by the Press and Journal states the land the wall is on is currently owned by Mr Young and his wife Hazel.
They bought it for £40,000 from Mr Young’s mother Marion in April, 1991.
She had taken ownership of the deed in June, 1990 from John Runcie.
The plans indicate that the slope and wall surrounding the stone dyke were transferred.
E-mail correspondence was sent to Mr Young asking him to approve the work as the landowner – which he did verbally.
Legal advice seen by the Press and Journal also states the deed has not transferred ownership since Mr Young and his wife bought it.
But the finance convener maintains he is unaware who owns the land currently.
Men in high visibility jackets surrounded a digger while works were undertaken at the wall when the Press and Journal visited this week.
The historic stone dyke runs the length of Wellington Brae which borders land owned by Willie Young.
Under the plans the collapsed parts of the wall are to be replaced with a new concrete.
The connecting lane, and part of the cycle path, runs from Ferryhill’s Prospect Terrace to South College Street.
Mr Young’s address is listed as the nearby Prospect Court.