Yes it seems that the government is solely responsible for the placement of the refugees, QM. Of course what happens to them after they have been “placed” is a matter of conjecture. I don’t see the government taking on the responsibility for seeing that they remain where they are placed so the people of the Isle of Bute may not be troubled for too long as the incomers make their way to somewhere more suited to their likings once they have found out where the ferry terminal is.
I only know for certain of those two, QM. There were various other politicos, "celebrities" and Thespians urging everybody else to makes their spare rooms available but none that I recall made the specific pledge that the Misses Sturgeon and Cooper did. Doing a quick search it seems that some 2,000 British people made similar pledges to those two (though the article I found only mentions Bob Geldof by name):
http://news.sky.com/story/1547710/politicians-offer-to-house-syrian-refugees
Most people are now accustomed to Mr Geldof’s rabid ramblings. He said it was images of three-year-old Syrian Aylan Kurdi's body being washed up on a Turkish beach that influenced his decision. "I look at it with profound shame and a monstrous betrayal of who we are and what we wish to be," he told RTÉ Radio One in Ireland.
Of course in heaping blame onto everybody else for the tragic death of the young boy, he neglected to add (perhaps because he had not troubled to find out or, more likely, that the facts did not suit his agenda) that the boy had, in fact, been removed from Turkey by his father who had lived there for some years and had a house and a job. It was his father who chose to place him in a rubber boat on the high seas, not everybody else. However, I digress.
However it’s really only politicians I am interested in for this issue as their rank hypocrisy seems to know no bounds. If there others who made similar unfulfilled pledges then there is plenty of my scorn and derision available for them, whatever their leanings. Despite the government’s monopoly on placing refugees I’m quite sure that if Scotland’s First Minister and one of the UK’s most senior opposition politicians (former Cabinet Minister and Shadow Home Secretary) really wanted to they would have found a way to influence the government’s “placing” strategy in order to fulfil their promise. Not perhaps in the way you suggest but by more subtle means. But like most politicians (including “Lord Snooty”) they talk a good talk. During the summer there was considerable disquiet in the UK about the likelihood of large numbers of Syrian refugees being settled here. This was when the EU, whose policies were much to blame for allowing hundreds of thousands of illegal migrants to roam over mainland Europe, was trying to foist quotas of migrants on all member states. True to form those voicing such disquiet were howled down and Sturgeon’s and Cooper’s pledges, which they had absolutely no intention of keeping, were part of that antithesis. There is nothing absurd about highlighting that hypocrisy and I make no apologies for it.