It looks more like a Cornus than a Cotoneaster, to me.

Agree

The original had clusters of berries. Do cornus have berries?

Yes they do, all shrubs have berries of some form - what did they look like!

The berries were red on a hanging cluster like the pictures on the RHS website for the cornubia, but I'll have a look at the info for cornus.

Actually given it's size I'm surprised it flowered and fruited this year! Were the berries very small and round or slightly larger and pitted?

Hi moon-grower. Sorry , didn't make myself clear. The berries were on the mother shrub. The dead mother was the subject of a post on 25th April this year. ( called dead or alive) I appear to have deleted the original photo otherwise I would repost it. There is a photo of the shrub skeleton. The mother was in the garden when we moved in 2013 but I can't remember the new growth having red stems so am now unsure of the name.
The cutting was taken about a year ago.

I've never seen a cotoneaster with red stems, which doesn't mean such does exist! However I'm pretty sure this is a cornus - they do have red stems and the leaves look more like cornus than cotoneaster.

I'm not sure what it is, but I'm quite sure it isn't a Cotoneaster. The leaves are far too large.

Try gently tearing a leaf across. The two halves should stay attached by thin threads if it's Cornus, which I think it is.

Hi landgirl100, have tried the tearing leaf and attached a photo. No threads. Curiouser and curiouser. actually can't seem to add another photo to tread