I found this while frantically searching actual timelines after realizing my kids passports had expired in March and we are scheduled to leave the country July 7. So here is my timeline:

June 5 - realize passports expired and made appt for next day (with kids no renewals and both parents need to be present)
June 6 - submit applications and pay expedited fees and express shipping in both directions ($26 for both in one envelope there and then $17 for each passport to come back)
June 7 - applications arrive in Philadelphia
June 11 - passport locator number email
June 13 - both passports being printed and passports shipped emails
June 14 - out for delivery

I would have been ok without the express shipping, but having them here ASAP will give me peace of mind. Thank you to everyone who previously shared their timelines and I hope this helps someone else!