Which, to clarify, is pronounced K'tony-aster. Not cotton-easter!
The most familiar one is Cotoneaster horizontalis, whose branches grow in a flattened herringbone pattern, and which can be found ascending up walls. If not supported by walls, it just sprawls wider and wider, but like all of these shrubs, it produced masses of berries, and is therefore valuable as a wildlife feed plant.
I don't know exactly which Cotoneaster this is - it's hard to tell with the deciduous ones, in winter - but it's quite free-standing. It may even have been a chance self-set seedling, as it is planted in a rather odd position. I suppose it's possible that the plan was to have something to break up the sightline from front to back...
Regardless of the species or origin, the treatment was simple - get underneath it, remove all dead branches, remove branches that were too low to the ground, remove branches that were obstructing the path, and those overhanging the bed: then remove a similar amount from the other side, to retain some balance and proportion.
The whole process was somewhat similar to the Salix caprea Kilmarnock pruning which I wrote about earlier - rather than just chopping off the bits that get in the way, it's far better to go right back to the main stem of the tree/shrub, and clear it out.
As a side benefit, you often get a nice view of the stem - in this case a rather interesting wind-blown arrangement of stems, almost Japanese in style, possibly?
As I said, a fun job - I enjoy having a good chop now and again, and it's very satisfying to bring a sense of order to a chaotic shrub.