Hi Suzanne - these things can be confusing, especially with the more you read re other people's scenarios/experiences.
We can't advise you on the 'correct course of action' as that's not our role. We register the outcome of any decisions made and update the register as appropriate.
Many joint owners create trusts/wills/shares in this way and protect them by applying for and registering a form A restriction. The idea is that the trust remains until the second joint owner dies, hence the life interest created.
If the property is to be sold then the form A restriction restricts your Mother from transferring the ownership on her own.
In such cases the most common way of dealing with the sale/purchase is for her to appoint someone to act with her and together you then transfer the property. The logical person to be included would be you but it doesn't have to be.
Our
Practice Guide 21 section 6.2 explains how this is done and it is the guidance the conveyancers would most likely rely upon also
Probate is not required as the legal ownership of the property has passed to Mum and does not form part of your late Father's estate.
HIs death is very sadly factual so there's no need to update the register using form DJP if you are selling. The buyer will need a certified/official copy of the death certificate to confirm the death. Neither they or us require sight of his will.
I hope that helps