Ethel, it didn't really mark the huge change in the law that the Independent said. It was argued on constructive trust principles I think, and Mrs Oxley had actually contributed the sale proceeds of her earlier property to their first joint property. It comes down firstly to what the common intention of the parties were at the time of purchase or cohabitation - a bit more is required than it was our "home", it has to be intended that the other partner would accrue ownership rights in the property.
Law was recently clarified in Stack v Dowden in House of Lords and it was confirmed that there is a presumption that the beneficial ownership of the property follows the legal ownership and the onus is on the person asserting that the beneficial ownership is different to prove it. The fact that Tiggy's ex maintained his own property (albeit with tenants) would seem to me to be strong evidence in favour of Tiggy retaining the ownership of her property, ie on the separation of assets basis.
Personally Tiggy, I do not think he has any proprietorial rights to your property, but if in doubt, nip down the CAB for their advice.