If you do have it, you can manage it but hardly eradicate it. Ragwort is everywhere around where I live. There is scrubland utterly covered in it - the council has insisted the owners regularly mow it, but what else can they do? It is a lawn weed in everyone's garden hereabouts. It grows on the grass verges. And you can't eradicate it from your lawn - I pull up every plant I see - because seeds blow in. The field behind my garden is a hayfield owned by a family who have horses. They mow it and put the hay into haybales. I don't know if they give it to their horses. It has some amount of ragwort in it, but what can they do? You can't walk around a field of several acres pulling up every ragwort plant before mowing it. Very close by are several fields that horses graze on, they apparently manage.