Good to hear that things are all sorted for you Nan now.
We had a nightmare which social services and in the end they got very annoyed with me and all my sisters calling them every day for updates on assessments and ongoing care and finding a care home.
There are very few good EMI homes for our relatives. There was only one in our area that didn't have an overriding smell of urine and where the residents were allowed to 'get on with it themselves' with no real care at all.
Thankgoodness your Nan and you lot on working for her to make sure she found a good place so that she can be well looked after.
I hope things continue to be good for you and your family.