Yeah, you would have passed around the town on that trip i guess, Conwy is a nice little place on the North Wales coast with a great medieval castle.
We have a couple of famous bridges not too far away, both are World Heritage sites, the Pontsyccttle aqueduct is around 25 miles to the NW while Ironbridge is around 10 miles to the East.
London to Conwy via Shrewsbury is a pretty long drive, about 5 hours I reckon, it wasn't just there and back in the day I hope!