Thanks for your enquiry.
To be honest, I feel there is nothing to gain for either of you if the bungalow were to be transferred in the percentages quoted or indeed any other percentage split. As you are her sole beneficiary, it makes little sense in transferring the percentage to you now. If your Mother did decide to proceed, she would incur legal fees in dealing with the transfer, and the Deeds would need to be changed. Then, the Deeds would need to be changed again when anything happens to your Mother, and Probate would also need to be obtained by you.
If your Mother were to do nothing, then the Deeds can just be changed on her death, and you would need to apply for Probate.
So, it would be cheaper to do nothing. As and when anything happens to your Mother, you would need to apply for Probate as her Executor. This can be done personally, by you applying to the local Probate Registry, or you can instruct a local Solicitor to deal with the application for you (he would likely charge approx. £300 plus VAT). Once Probate is issued (which is the evidence that you have the right to deal with your Mother's Estate/property), you would then nee to instruct a Solicitor to prepare the necessary Land Registry document transferring the bungalow to you (called an Assent). This document is signed by you and then registered at the Land Registry.
I hope this helps and sets out the legal position.