Place the chicken, tomatoes (and juices), beans, broth, water, onion, garlic, jalapeno, cumin, and chili powder in a slow cooker. Cover and cook on high for 3 to 4 hours or on low for 6 to 8 hours.

Uncover the slow cooker and use tongs to remove the chicken from the pot. Once cool enough to handle, remove the meat from the bones and shred, then return the meat to the pot. Stir in the lemon juice. Crumble a few tortilla chips into each bowl and cover with some soup. Serve sprinkled with cilantro and grated cheese.