Raspberry dilemma

Hi everyone,
I'm new to the forum and I hope someone can clear up my confusion about what type of raspberries I have. I've just got back from my allotment with a couple of handfuls of raspberries - v surprising, as I thought I had autumn-fruiting plants.

I was given the canes 4 years ago and didn't ask what variety they were, but when I got (limited) fruit at the end of summer/beginning of autumn I presumed they were autumn-fruiting, so I always cut all the canes back after fruiting.

From what I have read, summer-fruiting varieties grow on last year's canes and I have cut this off so what kind of raspberries do I have?!

Please help!

It can be very confusing until you clock which is which. I have Autumn fruiters in my garden and they are just starting to form berries and will ripen in about 5 weeks, and will probably carry on through to  November. Almost a bit like "ever bearing" strawberries". Up at the allotment I have both types.
There's only one way to prune raspberries to be sure. Only prune those stems that have fruited, Autumn or Summer types. All fruited stems in December will have evidence of that year's fruiting activity. Cut them down. What will be left showing will be next year's Summer canes, with all the Autumn ones cut down. 
I find it simpler not to go down the technical Summer/Autumn thing whilst pruning. Think all raspberries don't by and large fruit again on already fruited stems.

Why do you want to thin the canes? Unless they are growing where you don't want them, it's usual to keep all the new-grown canes.

A HA ........... dig out the shoots and roots from the paths - Covered my paths with double thickness weed fabric to keep them clear. Most of the old boys have grass paths between rows and just mow any new growth off 

Thanks for all the advice. My allotment is on a v small and, until recently, underused site so there isn't a wealth of knowledge to be found from the other plot holders. Tomorrow I'll be pruning the overactive raspberries and laying out some weed-proof fabric left over from my paths (didn't think to use it in the rasps).