Jennie Lake is part of the Jennie Lakes Wilderness area between Kings Canyon and Sequoia National Park. You will start at either Rowell Meadow or Big Meadow trailheads. Along the trail you can camp at Weaver Lake, Jennie Lake, Jo Pass, or Rowell Meadow. 

You will need to gain a backcountry permit to do this trail and make sure you know of updated water sources and filtration systems. 

It's about a 7-14 mile trek depending on which way you decide to go. Poop out pass is no joke.