Never mind Mr. Red. Those guys are just background noise :)
I'm a single female too who just recently had an involved foundation repair done, too. It went well. I had an engineer involved, though, and the mason and he discussed the job. My house was not jacked up - the old inadequate footer was partially undermined to pour a new footer under it and up to it. Other work too, but hat was the main part of it. We don't usually have piers around here.
You might consult with a structural engineer about this. And do call the contractor back.
Banty