EP...I reckon you already know what to say.
You're an adult, and if there's ever something you need to step up and take responsibility for, it's your recovery....in fact taking responsibility was actually a large part of my recovery, because I'd never done that before...ever...in my adult life.
But understand why you need to stand on your own two feet. It's about you, EP - Not them.
Don't resent them - that's not a useful emotion - it's wasted energy, and you'll need all your energy for this.
Understand them, understand where they were coming from...but don't resent them for trying to do something.
My advice? Tell them how glad you are of their love and support, but let them know this is your job, EP.
Forget about co-dependent bs, that's only a name they call people who really care about sick alcoholics.
You may not have experienced it, or you may not believe in it, but I reckon roughly half the forum could re-educate you on that line of thinking GL....
D