Tell her to get bent.
If you can prove that you paid the down payment on the house (bank records should show it), you are entitled to receive that money back in the event of equalization. She would be entitled to any increase in value of the house since date of purchase, as she was a co-owner.
It works out like this:
(Value of the house now - purchase price) - your deposit = amount to be distributed.
I would simply tell her "no, you are entitled to 1/2 of any growth in the value of house over and above the purchase price from the date of purchase. You are not entitled to 1/2 of my deposit. Should you want to proceed in this manner, I suggest you get a lawyer, cause I'll see you in court."
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