The current English requirement for FLR is A2 speaking and listening, its a 7 min interview and is pretty easy to pass, you can prepare and book a test here: https://www.trinitycollege.com/quali...2-GESE-grade-3
Keep collecting as much correspondence for both of you and you could also put your wife's name on some utility bills like gas, electric or council tax.
If your wife arrived in the UK 3 October 2019 then she could apply for FLR from 3 April 2022 to the date of expiry. This will ensure your wife's time qualified to apply for ILR after 60 months in the UK. Do not apply before 3 April 2022.
Applications are done online at the GOV website: https://www.gov.uk/government/public...ine-form-flr-m
Glad to hear she's settled in and working