Every state and sometimes counties or other jurisdictions is different and it's a complicated set of rules governing eggs and meat. I sell eggs, processed chickens, turkeys, ducks and live chickens, chicks, turkeys and ducks. I also sell hatching eggs. Whether you're selling or donating, it's considered "entering the stream of commerce" which is governed by federal law. Who has jurisdiction over a particular activity can also be a muddy mess.
The reason I posted a link to the Farm To Consumer Legal Defense Fund was kind of subtle, but it would be worth a few bucks to have an attorney evaluate your specific situations, what you want to donate and identify your potential risk, before engaging is such an activity.
Let's take my situation for example: I can sell or donate up to 18,000 eggs for food in a given year within my state borders, but I can't sell at a farmers market, to institutions, or retail outlets without an egg license. To get an egg license, you have to have a licensed candler, but there's no classes offered to become a licensed candler. So no egg license for me.
Meat: I can raise, process on farm and sell to individuals, institutions or retailers under the federal exemption PL 90-492. I am still required to meet all federal guidelines for handling and storing the meat. And though I'm not required to undergo inspection, FSIS can come inspect me anytime they like. I don't raise or sell quail, because in my state, even coturnix quail are not considered poultry, but are a game bird covered by the DNR.
I help others process, but I cannot do it on my farm. In order for me to qualify under the exemption I use, I can only process birds I raise on my farm. I can rent my equipment to someone else and take it to their farm and help them process, but not on my farm. If I didn't sell birds I raise and process, I could qualify under the federal exemption as a custom processor, but would not meet state rules for custom processors as I open air process.
My point to all of this is it is complicated and one is often best suited getting sound legal advice prior to engaging in the activity.