There are several ways to give someone an anonymous financial gift. I have to state that unless the leadership of Grace Church has announced that a special collection is being taken, any such gift, according to IRS regulations, does NOT qualify as a tax-deductible gift. But that shouldn't stop you from making the gift. Here are several methods you can use to keep your financial gift anonymous:
1. Go to your local bank and ask the cashier for a Cashier's Check in the amount you want to contribute. From what I've seen a Cashier's Check has not identifying information on it other than the bank institution used to produce the check. I think you can have the check made out directly to the person you want to give it to. With the check, you can hand it to someone to deliver it for you.
2. You can give a cash gift, put it in an envelope and ask someone to give it to the person on your behalf.
If you're looking to give a tangible gift, it's just a matter of how you deliver it. You can again ask someone to be your delivery person, you could also drop ship it directly to their address. Or, if you could make it a family deal and plan a covert operation to drop the items at their home without being noticed. Just some ideas.