Wash the squash, onions, potatoes, celery, and carrots thoroughly. Peel the squash, carrots, and potatoes. Remove the seeds from the squash.
Cut the squash, celery, carrots, onions, and potatoes into cubes.
Put the potatoes and squash in a large stockpot. Cover with water, then bring to a boil and cook for two minutes.
Add the remainder of the ingredients. Mix to combine.
Put the hot vegetable mixture into jars, leaving an inch of headspace. Ladle boiling water over the vegetables, checking for the inch of headspace.
Remove air bubbles and wipe the jars to remove food particles.
Process in a pressure canner for 90 minutes (quarts) or 75 minutes (pints) at 10 lbs pressure. Adjust as needed for elevation, see notes.
Allow the canner to depressurize, then remove the lid. Remove the jars and allow them to cool for 24 hours before storing.