Yes the older her gets the longer he'll be able to go... If the puppy is actully using going #1 and #2 then that great and you can't blame him...it will get better

but Izzy did the same thing but she was up at 3:30

... and the times that I didnt hear her, she went in her cage and that is worth then getting up and taking her out..lol..
Good luck. it will get better