Would I be correct in assuming that your husband has debts of £73,000 and that you have debts of £19,000.
Are any of those debts in joint names or are they solely owned? If any of the debts are jointly owned, it would seem rather pointless to deal with your husband's share but not yours at the same time. For instance if your husband pays back 25% of the debt, the creditor would pursue you for the other 75%.
On the £19,000 liabilities, can you service them on a monthly basis to the creditor's satisfaction?
Are you simply making minimum payments and as such your liabilities may, if anything only be increasing?
Or are you paying your own liabilities off and it is to an extent where your liabilities are decreasing on a monthly basis?
If it is the first of those two scenarios then it would probably be to your advantage if you were to seek advice on your circumstances and as such, if after understanding the implications and advantages and disadvantages of all options available to you, then it may well be worthwhile considering a 'joint' IVA.
If it is the second scenario, then I don't see any reason why your husband could not go down the route of an IVA based upon his sole debts. Though he will more than likely have to show your income in his proposal and what portion of your income goes to household expenditure and which to your own personal liabilities.
You said Debtmatters say an IVA was not going to be an option available to deal with your husband's debts. Did they outline the other alternatives that are available to you?
Tell it like it is.