Hi there Hara and I am sorry that you are thinking along these lines.
If your marital difficulties relate purely to strained finances, you must ask your IP to see if the payments can be lowered. It is not worth losing your wife over.
But to answer your questions, as the house is in your name, creditors may have some difficulty in you selling and using the money to buy your wife another property, leaving you to rent, as you will also have child maintenance to pay on top of that. Technically, you could be in a worse situation financially.
Surely your wife has also benefitted from some of your debts, albeit you kept them secret from her, so should therefore bear some of the burden of responsibility for paying them back. I feel that you should both sit together with pen and paper and work out what you really can afford to offer to creditors, and then make an approach to your IP as soon as you can. Everyone knows that mortgage rates have increased over the last year or so, so it may not be too unreasonable to be seeking a reduction in your payments.
Regards, Melanie Giles, Insolvency Practitioner for over 20 years.
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