The courts can only split what there is. What has she done with the 'equity' from the two homes you shared?
You will both have to provide a full, honest
financial disclosure, from which to split. Usually they will have to consider the 'needs'. She has her needs housing needs met, (and that of the two children), and I assume you do too?
If she's re-invested the equity in a new home, (and you're still married to her), she will need to declare those assets. (Although if she can't afford to make a settlement to you, the court may 'ear-mark' a percentage of the ownership to you, which I doubt you'd see until the kids reach 18).
Your rights to claim will probably come from your contribution, and if that includes DIY to increase the value (as apposed to actual mortgage repayment), then again, provide as much as you can.
If it was deemed a 'short-term' marriage, (and she brought those homes to the marriage), it can be deemed that each party be returned to their pre-marital status.
I'm in a similar boat, I registered my '
matrimonial home Rights', (which prevents him selling over my head), but your homes are alreay sold, so it'll be a case of you being awarded a 'lump-sum settlement'.
If you provide a bit more info, ages, etc; you might get one of the very talented legal forumites to reply.