Have you read that write-up? A good reason never to trust estate agents' particulars: apparently the house is "On the Northern slopes of Bidston Hill". Wethersfield house is a mile from the top of Bidston Hill and even further from the Northern slopes.
As an aside, can I ask people posting on the History forum to try to get their spellings correct, as sometimes people researching can be misled by wrongly spelled place/house names.