What deep cycle battery should I get power 200 watt video lights?

I need to shoot video at night on an exterior location with now access to mains power. I want to use a deep cycle battery (marine battery) but am not sure how to figure out the size needed. The lights will be no than 250 watts (mostly 110). The amp rating for the lights is 1.1 a I need to run the lights off and on for about three hours. Thanks.