I am afraid that the answer to your question is no on both accounts. You must remember that when you took out your mortgage it was you and you alone that undertook to the mortgage lender to make the payments and the fact that you now have a husband living with you in the house does not make him liable to the lender.
Although I obviously know very little about your matrimonial affairs it would not on the face of it seem sensible for you to move out. If however you decide to do so you should certainly first reach some agreement with your husband (possibly in a formal separation agreement) that he will voluntarily make the mortgage payments. However the most sensible course here if the marriage has irretrievably broken down is for you to get on with the divorce and as part of the divorce action resolve all financial issues between you and your husband.
Click on any Q to read the answer.
• Get a divorce
• Have contact with my children
• Make a small claim
•Write a letter of claim
•Obtain a Grant of Probate
•Get legal advice and help with my case
•Make a Will
•Change my Name
•Prepare a legally binding agreement
• Sever a Joint tenancy
• Prepare a Partnership Agreement
• Sell a Jointly owned Property
• Appoint a Guardian for my children