Spray 6-quart slow cooker with cooking spray. In 12-inch nonstick skillet, melt butter over medium-high heat. Cook onions, celery, carrots and garlic in butter 5 minutes, stirring occasionally. Add wine, bay leaf and thyme; cook 5 minutes.
In slow cooker, stir together vegetable mixture, broth, navy beans, chickpeas, kidney beans, tomatoes and cubed ham. Add ham hock. Cover; cook on Low heat setting 4 hours.
Remove ham hock from slow cooker; cool slightly. Remove and discard bay leaf. When cool enough to handle, remove meat from ham hock and discard bones. Add meat, vinegar and parsley to slow cooker; stir.