Posted: 23/03/2014 at 14:37
The furlong bit confuses me - a furlong is over 200 metres but we'll presume you've got a reasonable depth of soil
I once had a very similar garden to yours. I grew runner beans, lettuce, swiss chard, courgettes, various herbs and strawberries in the ground and tomatoes, dwarf french beans, carrots, beetroot and tomatoes in containers.
Because of the lack of direct sunlight in much of the garden except in mid summer I tried to find varieties that produced an early crop - that worked quite well.
Get some bags of well rotted farmyard manure from the garden centre and dig it into the soil - it'll be fine