What can I grow in a boggy, shady part of the garden?

[IfNotNowThenWhen]

I have a Jeckyll and Hyde Garden.
One side is sunny (south facing) and could grow anything-in fact the main task seems to be just trying to prevent it becoming a jungle in the summer.
The other side is basically a bog. Really wet, and shady all the time except in the morning, until around eleven.
I am not a very experienced gardener, so anything I plant needs to be extra hardy!
I would like to cover the fence on the shady side, so climbers would be good, and little boys use it, so any shrubs that like shade, which could grow to become denworthy might be nice.
I am trying some veg on the sunny side, so would also be interested in any veg/fruit that would grow in a bog. Should I start a rice paddy?

Ligularia "Rocket" is wonderful in boggy soil.

Thank you! I will watch gardeners world - never gardened much before, so its a whole new world to me. We are living somewhere ( please god) more permanent now, and the garden has several mature shrubs already so it doesn't seem like such a major task to build on that. Previously we were in a new build with nothing in the garden, and nothing had ever been grown in it, and that was a little soul destroying and I kind of gave up.
Right,loving the idea of willow ( spikes have put me off gunners!)so willook into that. Hostas and laurel are nice, and look tough. I love foxgloves (fairies use them for hats you know) but would have to limit flowers, as don't want to be forever shouting " mind the flowers!"!
Will definitely grow honeysuckle up the fence- have it onthe other side too.
off to the garden centre in the Easter holidays with lots of ideas !

I think I will be haunting this topic from now on..

My gunera has survived the slugs (which will strip a thyme plant and chives) and I've managed not to protect it over the winter and its been fine. Purple loosetrife likes damp and is quite rugged. As is meadowsweet. You might even find some perenial geraniums do OK there. Quince trees like moist ground too.