She did not pay any of the medical expenses, so she cannot even claim those expenses in her own taxes. If you tried to work this from that angle, making the medical expenses her responsibility and you just giving her the money to pay them, she may actually be on the hook for being gifted too much money, depending on how high those medical expenses are. If a person receives over a certain amount of money as a gift, there is a VERY steep tax on the total amount. On top of that, you cannot claim the medical expenses on your own taxes and, as many have already said, since this is a tax deduction and not a tax credit, this would be a net loss in favor of the IRS. Possibly an extremely large net loss.
Claim the expenses on your own taxes, take the deduction, and maybe get up with a tax professional to work the details of it out. You can worm a fair amount of extra things into the umbrella of medical expenses. Travel to and from the doctors, medication and supplies, even food and lodging purchased during the medical stays. You will need someone more familiar with tax law than I am to work all those details, though.