To a slow cooker, add all ingredients except the cream cheese and heavy whipping cream.
Cook on high heat for 4-5 hours or low heat for 6-8 hours. During the last twenty minutes, lower the heat to "warm."
Remove the chicken and shred the chicken breast meat. Return to the crockpot.
Add heavy cream and cream cheese. Cover, and allow the cream cheese to melt for 5-10 minutes.
Stir well to ensure there are no remaining clumps of cream cheese.
Serve warm.
Notes
Dice veggies to about double the size of the corn kernels.
The chicken can be left out if you'd like a veggie soup!
If you need help getting your cream cheese to room temperature, fill a small bowl with hot water, then place the brick of cream cheese (still in the wrapper) in the water for 5-10 minutes.