London was settled in probably the best place realistically available. Obviously settling on the flood plain just north of the sugar is the best place, but there's no way you could have known that without taking a serious gamble and not settling for 5-7 turns.
I would have delayed settling Birmingham and settled the flood plain instead. It actually can be a decent city once feudalism is discovered because you have a lot of open-plains; however, I would have settled one tile north on that hill for the extra production, not on the mercury for the extra science. Also, the crab would be in the first ring. Furthermore, once the city has spread out a bit, you'll get the flood plain tiles which will give you some nice food tiles.
Also, you should have bought your second worker already. I'd buy him in London, improve the wheat, then move to Birmingham where the city will hopefully have picked up one of the resource in the second ring via culture. Buy an additional tile (should be 7 turns later so you should have the gold) in the second ring. Ideally that would be the amber and crab for the eureka (you already have the masonry eureka) and decent 2F tiles
