meet 'the sausage' and 'the mop'

Meet my dogs: Pokey 'the sausage' and Reilly 'the mop'. Why the sausage? It is obvious! And why 'the mop'? If you have ever touched a brillo pad, you have touched Reilly. Her fur is so rough that it reminds me of a white mop we had in our house when I was a child.