Right... I wouldn't touch Dawgs personally. I was looking on their website and spotted that:
1 - they rehome direct from the owner's home on most occasions and so I'd question their ability to assess adequately and
2 - that they are noting dogs on there to be unvaccinated and unwormed. IMHO the minimum you should be looking for is an ASSESSED dog which has been vaccinated, wormed, de-fleaed, neutered, where a homecheck is carried out upon the prospective owners before they may adopt and where the rescue guarantees to take that dog back into a no-kill environment if for any reason and at any time AT ALL the new owner can no longer keep him.
Not impressed to be blunt.
Mrs Murrays IS A COUNCIL FUNDED DOG POUND AND IS NOT A RESCUE - they say nothing about homechecking you, the potential owner, or assessing their dogs. UNLESS THEY GUARANTEE TO DO THIS AND THEN SOME, AVOID THEM AT ALL COSTS.
I've done it a few times (slightly different background and circumstances to the average owner) but I would NEVER recommend to the average family that they take on an unassessed dog from the pound. Let rescue do that, let THEM assess the dog to see if he's suitable to live with children/cats/won't chew your furniture/won't howl and cause rows with your neighbours/doesn't hate men, women or children etc etc and then adopt from a rescue which has done so. Don't put your family up as guinea pigs.
There's nothing wrong with taking on a former stray, providing it's done in the right way... providing you have been homechecked (for YOUR wellbeing as much as the dog's), he has been assessed and the rescue will take him back at any point and support and advise you 100% of the way.
Which is NOT what a pound does. A pound is there to make money and to get dogs out of their premises as soon after his 7 days are up as possible so they can take the next batch in. :(
Sorry... I know neither place personally but would certainly not advise you to adopt from either going on what I see on their websites.