Hello and thanks for using Just Answer.
My name is ***** ***** am happy to assist you with your enquiry.
As you will not be on the Mortgage, the Mortgage Lender will ask you (via your husband's Solicitor) to sign an Occupiers Form. This form is basically confirming that any rights you have to remain in the property will be postponed behind the rights of the Lender if they ever needed to repossess the property (ie if your husband does not pay the Mortgage, and the Lender wishes to repossess, you could not turn round and refuse to leave).
If your husband were to die first, hopefully he will have sufficient savings or Life cover so that the Mortgage can be paid off. If not, the Lender will normally allow you to remain in the property provided the Mortgage is paid. If it is not, then they would repossess the property and you would be forced to vacate or and you would have to sell it before it got to that.
In the meantime, I am afraid it is not possible for your name to go on the Deeds ("on the title") maning you are a joint legal owner of the property, as the Lender would have to consent to this. Once your credit rating has improved, you can approach the Lender with a view to putting your name on the Mortgage and also on the Deeds.
Depending on the value of your husband's Estate, you will inherit the proeprty upon your husband's death if he had not made a Will. However, the intestacy rules (where someone dies without a Will) are strict, and he should certainly make a Will, leaving the house to you, to avoid any potential problems.
I hop this assists and answers your question. I would certainly make sure that your husband arranges sufficient life cover, so no problems arise for you in the future.