If there is no mortgage then you can transfer the property to another person by transferring the registered legal title.
Check on the land registry registered title if it is registered.
You can download a copy of the register for your property from the land registry's search engine:-
Enter the postcode for your property and if it is registered it will give you the option to download a copy of the register.
You will have to draft a Transfer (form TR1) from you to the person you wish to transfer it to (which you will both have to sign as a deed (ie. witnessed) and you can download the template form from the land registry's website. You will have to submit this to the land registry with their form AP1, this is also downloadable from the website
by selecting from the "Forms" tab:-
You will probably have some questions on completing the forms but the land registry's customer support service are very helpful to lay persons. A fee will be required and you can also ask them about that.
Please note that once transferred you will cease to have any rights over the property, you will not be able to claim an interest against the property following transfer.
If you live at the property after the transfer then this will be a gift with reservation of benefit for inheritance tax purposes, which means that the whole of the value of the property will be included in you estate for IHT purposes.
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