cold start

i have a 200 sunfire, 2.2l. when it is cold out like overnight, when i go to start tha car in tha mornings it will not turn over, the dash lights don't even light up, maybbe a little, but if i jump tha car it starts fine and after the first start it will start for the rest of tha day. i have relpaced the battery. can someone please help me out so i don't have to waste my money taking to tha dealer or a shop.
thanks
trs

Something is draining the battery... do you have any aftermarket equipment installed, like amp/subs?

Something is draining the battery... do you have any aftermarket equipment installed, like amp/subs?

ya but i unhook everything and it still did it but i did notice that my turn single was burnt out and i changed it and it did it burnt out again a day later, you know tha greese that they put in it to help it, well it went all dry and brown, i cut it off the car and cleaned it all out. now it satrs fine in tha cold but could that cause tha battery to drain when the car get cold.
????