designguy

By the time of her flight she will have hopefully recovered. She can then get a note from a health care provider stating that she has recently recovered from covid. This statement plus her positive covid test from what will have been within 90 days prior to the flight should be sufficient. Technically people can test positive for up to 3 months after infection so this updated provision allows people who have recently been infected, but have recovered, to travel https://www.cdc.gov/coronavirus/2019-ncov/travelers/testing-international-air-travelers.html

You dont submit any documents. There is nothing you can submit that will help their case. They need to show strong ties to Nigeria.

My PERM took less than 5 months but it can vary. When you say "our lawyer" you mean the company's right? You should ask if the PERM was audited

No the waiver qualifications are extremely limited. Covid 19 is not one of them

Anyone can apply Success is a whole different story

Quickest would be to premium process an O1. Get a good lawyer and see if you can qualify (unlikely but if money doesnt matter then you might as well try). My EB3 took 2 years pre covid.

Status of Operations: The United States Embassy and Consulates in Italy remain unable to resume routine immigrant and nonimmigrant visa services at this time. We will resume routine visa services as soon as possible but are unable to provide a specific date. If you have an urgent matter and need to travel immediately, please follow the guidance provided at https://ais.usvisa-info.com/en-it/niv or (+39) 06 9480 3777 to request an emergency appointment. https://it.usembassy.gov/visas/

Thats generally what "not required" means...

SB1 visas are for situations where you were not able to return due to circumstances out of your control. Based on your timeline it seems like your daughter was born 2 years ago? So this would have given you plenty of time to apply for an SB1 after your wife was better and to travel back to the US. Staying in India to care for your mother would not qualify as a circumstance where you could not return.