I used the newspaper method with our prvious dogs, but with Dylan I used a crate, in the bedroom. I set the alarm for 3.00 the first night, took him outside without fussing, straight back to bed. Every couple of nights I i creased the time by 15 mins. In two weeks he was going through the night til 7. We are on one level, so it was easy for us, plus we are retired so it was easy to watch him like a hawk in the daytime and get him,outside reguarly. He never did a poo indoors, and no wees after a month, truly the easiest pup we have ever had, but I put this down to our being around all the time.
He still sleeps in the bedroom, but now is in a bed. He has a couple of biscuits when he goes to bed, and doesn,t make a sound until 7.30 next morning. He's 20 weeks now.
The first two,weeks were tricky with getting up in the early hours, but it was summer which helped, and it was sooooo worth it. We never had to use newspapers at all and he learned so,quickly that outside is the place for him to wee.
Best of luck with your lovely Cosmo

Lesley and Dylan