Will they survive the night?

We were doing some out door yard work and we took the tarp off the grill. Inside was a nest which did not seem to be occupied. Until i looked down and saw very newborn mice I started crying.So with out touching them with our bare hands we carefully moved them and the nest under the porch where we knew the mom lived then we went back to the grill and saw the mother in the corner hiding so we gently shooed her towords the nest. I think she made it there. will they survive?