Thanks for your question.
They will almost certainly require the co-named mortgagor to be named on the registered title, nearly all lenders do I'm afraid.
You could, though, at the time of the remortgage enter in to a declaration of trust with your partner or father, this is a deed which states how the proceeds of sale are to be divided if the property is ever sold (after redemption of the mortgage). You could state this in percentage terms and it could be registered against the title of the property as a notice.
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