Hello and welcome to the site. Thank you for your question.If a property is owned in joint names then rental income is deemed to be 50:50 ..shared equally.If the property is registered in one name, then the income is chargeable to the person whose name is ***** ***** deed.Here is guideline from HMRC -
If you live together with your spouse or civil partner, we normally treat income from property held in your joint names as if it belonged to you in equal shares and tax each of you on half of the income, regardless of actual ownership. Please complete this form if you want to be taxed on your actual shares (known as `actual basis'). You will also need to provide evidence that your beneficial interests in the property are unequal, for example a declaration or deed.
More information on jointly owned property can be found here (guidance from my accountancy body)
I hope this is helpful and answers your question.
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Isnt there an abiguity in this in that both parties are paying for the property, but only one person's name is ***** ***** deeds ?
The HMRC quote you provided talks about joint partners it does not mention title deeds.
I hope this is helpful.