All these are good suggestions. Most TTs have a 12V kill switch to shut off when you aren't using the trailer. If you don't have one it's easy to install. But it sounds like you have a major draw if you are knocking down 2 fresh batteries overnight. Something is left on. As suggested, you gotta start looking, pulling fuses to isolate which circuit is on. Using a multi-meter is best but a simple 12V test light is good too. Someone mentioned the trailer brake breakaway switch being unplugged...that happened to me once long ago and it killed my batteries by the next morning.