As paper was dry this morning I have wet again is this right??
Yes to your question, but there is no need to put them somewhere warm, room temperature will do.
It is the bottom heat that is drying the paper! had they germinated then the chances are you would have lost them!
To assist try this; put the paper on top of some sand or compost and this will keep the paper from drying out so quickly.
It means you can put more water in the sand bed rather than having the paper sat in water.
Does that make sense ??? if not get back to me!