Can I recoop money given for a mortgage to my daughter with the promise I could live in the home? I have nothing in writing

When you say you had to move out, I assume that your daughter forced you out, thereby breaching the contract.  Usually  a contract like you describe would have to be in writing, but exceptions are sometimes made for contracts between close family members.  You can sue your daugher for breach of contract and, if you can satisfy the judge/jury that you had the contract you describe and that your daughter breached it, you can be awarded judgment for the damages you sustained (which could be more than what you invested, i.e. the cost of having to find replacement housing).