My nemesis - Snowberry

So 4 years we bought a house that the garden hasn't been touched for 10 years. Needless to say the snowberry was rampant. Stupidly I chopped it down and I swear I could hear it laughing evilly .Within a week or two it had grown like nothing I had seen before. I've had the digger in and it's got rid of most of it but there's some deep thick roots which I've chopped as much as I can with the root slayer. My question (s) is if I put a weed membrane down and lay lawn will it still come through? (more in hope than expectation for this quick fix) Or which I've read on a few forums to put thick black plastic down, which I guess I will have to have top soil then lay lawn. Any other ideas (dont want to use weed killer or nothing too strenuous I'm getting too old!!

 

Glyphosate?

 

Sorry my fault, the ground is organic so l didn't want to use weed killer

 

Digging presumably is your only option then I would think.
Although its not a plant I have ever dealt with.

 

If by snowberry you mean symphoricarpus, it doesn't give up if you mow it, it just relocates itself to a more inaccessible area of the garden.
Sometimes the only option for a pernicious weed or shrub, is a chemical intervention. if you don't like using stuff like that for whatever reason, then it's constant digging to remove it

 

We bought in 1978 and still have it but thankfully we have been able to reduce it by cutting right back as far as we can. It does appear in the road side hedge but as this is also cut back it is kept back. We don't use chemicals.