For example, if you put your income as $1000/month from your children, I don't think you can apply SSI.
but if you live with your children and they pay the rent, they pay the food, it's their money, not yours, and if they are very rich, but they give you $100/month or 0 as income, then you can apply SSI. Of course, If you have more than $3000 in your bank, you can't apply SSI either. Otherwise, even if you have a house, according to the rules, you can apply SSI, if I understand it clearly.