The position is that your daughter could apply to Court for an order for sale. These orders are seldom refused. She would probably need a solicitor to draft the application for her but the solicitor would write to her friend firstly to advise that your daughter has the right to do this in the hope that the friend may agree to either buy your daughter out and transfer the equity/mortgage in to her sole name or agree to a sale on the open market.
If she stops paying the mortgage and the friend does not see that the repayments are met then the lender will apply for an order for possession and sue your daughter for costs and monies owed under the mortgage. It will also affect your daughter's credit rating. (& friend's). They should ensure the mortgage repayments are maintained.
In the absence of an agreement to the contrary there is a presumption that each have a 50:50 interest in the property, if you daughter has evidence of her contributing the whole of the deposit and agreement with her friend that she should be paid this back then this may be helpful in this regard.
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