If the OP sends the FoI then we won't have to guess which sign, where and its meaning.
The 'except in marked bays' refers to:
4)A highway authority may by resolution, .....authorise the parking of vehicles[F7—
(a)]on, or on... part of a road] which is a highway other than a carriageway[F9; ..
..and notwithstanding the provisions of this section or of any other enactment or any rule of law...
....it shall be lawful from the specified date for any person to park a vehicle on the [F10road or footpath], or on the part thereof, as the case may be, to which the said resolution or notice relates and is for the time being in force.
A resolution does not have to be blanket, it could specify exact lengths and widths and mark appropriately.
I have known some which have tried to dodge this issue and purport to disapply wherever markings are placed but IMO this is improper, the council should resolve detail not simply the principle and then leave to officers to decide when, where and by how much.
Which should make the OP realise that they need to discover the detail.