Hi
We cannot comment on scenarios. If your mum gifts the property to you, she may have capital gains tax to pay, but this may be reduced by private residence relief.
Your mum's estate may have inheritance tax to pay is she passes away within 7 years of gifting the property to you.
Have a look a the guidance on inheritance tax at
How Inheritance Tax works: thresholds, rules and allowances.
If you inherit the house through a will, rather than be gifted the property during your mother's lifetime, You may have capital gains tax to pay on its disposal. You would need to obtain the market value of the property at the time is gifted to you or obtain the probate value if you inherit it, so that a gain can be calculated from the disposal value.
There is a calculator at
Tax when you sell property, which will also allow you to create a capital gains account, so that you can report and pay any capital gains tax within 60 days of completion.
Thank you