I didn't know counties had flags until I accidentally watched University Challenge. I suppose since the boundary changes there isn't one for Merseyside (anybody want to design one) Here's the Cheshire flag
I seem to remember when I was in the cubs in the 70s at the time of the change from Cheshire to Merseyside we had our wheatsheaves badges removed and were given a badge with a ship on it instead. Don't think it could have been an official county flag, but it was the nearest equivalent for us cubs (it always looked a bit threadbare next to the smart Cheshire badge!)
ARMS: Or on Waves of the Sea a three-masted Ship in full sail proper on a Chief Azure to the dexter three Garbs two and one of the first and to the sinister a Bugle-Horn proper stringed and garnished Gold. CREST: On a Wreath of the Colours a Dolphin head downwards proper entwining a Trident erect Or; Mantling Or and Azure.
Motto 'AUDEMUS DUM CAVEMUS' - We are bold whilst we are cautious. Granted 8th September 1910.
The Ancient Ship is taken as indicative of Wallasey's former importance in the shipping world, as in the Middle Ages she was a serious rival to Liverpool if not her superior in this respect. The three garbs or wheat sheaves on a blue field, are from the arms of the Earldom of Chester, taken on account of the position of Wallasey in the County, which position is more particularly indicated by the adoption of the bugle-horn. This represents the Horn of Wirral, indicating tenure by cornage, by which service the Lords of Wirral held the hundred, a form of feudal tenure which required the tenant to blow a horn giving notice of raids by the enemy. The Horn of Wirral is still in existence. The dolphin and trident were adopted as being suitable for a maritime borough of the character of Wallasey. The motto was thought to be especially appropriate to Wallasey, whose administrators have never shirked any bold policy, whilst at the same time they have carefully considered all the consequences before embarking upon their varied undertakings.