Melt butter over medium heat. Add mushrooms and onions, then saute until the mushrooms are lightly browned (about three minutes).
Add the chicken, carrots, potatoes, and celery, again, sauteeing until golden brown, or for about five minutes.
Stir in the stock and then add the white wine, thyme, salt, pepper, and bay leaf.
Bring to a boil, then reduce heat to medium and cook uncovered for about 10 minutes, or the vegetables are tender and the chicken is cooked through, stirring often.
Once the chicken is cooked through, remove the bay leaf and take the pan off the heat, then stir in the peas and lemon juice.
Ladle the mixture into hot jars, leaving 1" (2.5 centimeters) of headspace.
Use the air bubble tool to remove any bubbles, then make sure adequate headspace remains. Wipe the rims of the jars to remove any food particles.
Apply the bands and lids, then adjust to fingertip tight.
Repeat until all jars are filled, then load each jar into your canner. Put the lid on the canner and turn to the locked position.
Adjust the heat to medium-high and steam for 10 minutes.
Put the counter weight or weight gauge on the vent (depending on manufacturer's instructions), then bring the pressure to 10 lbs for a weighted-gauge canner or 11 lbs pressure for a dial-gauge canner. (Be sure to adjust for altitude, see notes.)
Process pint jars for 75 minutes, and quart jars for 90 minutes.
Turn off the heat, then allow the canner to return on its own to zero pressure. Let the canner sit for five more minutes before removing the lid. Cool the jars in the canner for 10 minutes, then let them cool on the counter for 12 hours.
Check the seals and store them for up to one year.