Nalgene bottles? I assume you are talking about the one liter ones, which are 3.5 across and about 7" tall.
So.... if the mine bag is 12"x8"x7"... If you stand them so they stand up, you can get it two-deep, three wide, and have room to spare. So probably a 7th tucked in on the end, and/or a bunch of odds and ends. That's assuming you want to pack it in there. :P
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-IronRaven
When a man dare not speak without malice for fear of giving insult, that is when truth starts to die. Truth is the truest freedom.