If in doubts, contact someone?   

Do you wish to speak to an advisor regarding your visa application ?
Should you wish to speak to an advisor regarding your visa application, you may call TLS on +44 207 605 6740 – lines are open Monday to Friday, from 8.30 to 16.30.

Please call from a phone that allows callbacks.

Alternatively you may want to fill in the form available on https://fr.tlscontact.com/gb/lon/inquiry.php

https://france-visas.gouv.fr/en_US/web/france-visas/ai-je-besoin-d-un-visa?p_p_id=NeedVisaApplication_WAR_fvfoportalvisasportlet&p_p_lifecycle=0&_NeedVisaApplication_WAR_fvfoportalvisasportlet_implicitModel=true

Funds

Last 3 months worth of bank statements (UK current account) showing your full name and address, and proving that you have enough funds for the whole duration of the trip, or traveller's cheques presenting the same guarantees. If you are financially sponsored by your spouse/partner : marriage certificate and bank statements of your spouse/partner.


A few years ago, one of my friends in Thailand gave her Thai bank statement to her daughter in support of her daughter's Schengen visa application who was at the time studying in the UK.

I am not sure about the case of a person on Tier 2 though.  

You should ring the helpline.