If the outstanding mortgage is only GBP6000, whilst the lender could apply to court for an order for sale to compel you to sell the property, it’s unlikely that provided you continue to pay the mortgage as you have done, they would actually do that firstly because there is no point in doing it if they are being paid but secondly because they are unlikely to get the order because the remedy they are seeking is disproportionate to the problem.
That’s not to say that greedy lawyers would not see this as a licence to print money and convince the lender do issue the proceedings in court anyway even though they are unlikely (in my opinion) to succeed particularly in view of the fact that you have a dependent child
If there is only GBP6000 outstanding, it would certainly be worthwhile investigating borrowing that money elsewhere because with such a small amount of money and a large value house, secured loan would be a good deal for a lender. Just not your current lender.
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