Hello and thanks for your question
When a married couple divorce, if they cannot agree between themselves how to divide up the matrimonial assets, then either one of them (regardless of who starts the divorce) can apply to court to ask the court to decide. The matrimonial assets are everything in the wife's name, everything in the husband's name, and everything owned jointly, so you will be able to make a claim against the house, even if it's in your husband's sole name.The court starts from the position that the assets should be divided 50:50, then looks at reasons why that might not be appropriate eg if one of you has a significantly smaller income than the other, then that person can argue for a larger than 50% share of the assets, or if one person is providing a home for the children of the marriage, then that's another reason why they can argue for more than 50% share. The court will aim for a solution that allows both parties' needs to be met, and for each to be rehoused.
The above is your rights as a spouse within divorce proceedings.
You could strengthen your position even more by eg having a declaration of trust document prepared by a solicitor to be filed at the Land Registry at the same time that the transfer document for the new house is filed at the Land Registry, to state that the property is held on trust by your husband on trust for the two of you. And/or you could look into having a post-nuptial settlement drawn up by a solicitor, which sets out what is the intention of both of you regarding the house and other assets, should you ever separate or divorce. (Although the only legally-binding agreement is via a court order within divorce proceedings). All of these clarify the shared intention of both of you, at the time the house was purchased, which could help you if you divorce later.
You could make financial contributions even though you are not named on the deeds or the mortgage of the new house eg by paying half the monthly mortgage payments from an account in your sole name and/or by paying for some or all of the deposit from an account in your sole name, and/or by paying for some or all of an improvement eg new kitchen - anything which increases the value of the property. All of the above give you a financial interest (called an equitable interest) in the property, which again would be helpful within divorce proceedings ,and could help you with a claim even if you separate without divorcing.
Face-to-face legal advice from a specialist family lawyer would help. Here's where to find one:-
Food for thought!
But I hope you have a long and happy marriage...
Anyway I hope this helps and I wish you the best of luck.
Thanks and best wishes...