The only thing the courts would be interested in in cases like this is what’s in the best interest of the children and if the house is needed to provide a home for the children until 18, and thre is no surplus equity in it, then your ex renting it or forcing a sale is probably not on the cards if she wants to live in it with the children.
You potentially have a claim under part 4 of the Family Law Act but unless the children live with you, it is only likely to give you a temporary solution.
On the other hand, you probably have a substantial financial claim in respect of your contributions to the property but because of the children, you are probably not going to be able to realise that until the youngest child reaches 18. It is having dependent children which changes everything.
I don’t know whether that answers the question for you or not because you have not actually asked a question.
Thank you for letting me assist you with your legal question. I am glad that I was able to help.
I am not certain whether that answers the question for you or not, but I am happy to answer any specific points arising from this.
It will be my pleasure to help you again either further with this or any future questions you have