I think I would approach this differently than what has been posted here. and some of you might find this to be a little out of your comfort zone, or that I am a kook...but I know that it is Biblical and I have seen God honor it countless times..

First Scripture says that you should expect that when you try to share the prophetic word (the Bible) with family and friends that they arent going to listen to you. Remember they knew you way back when ....and they know all your faults so who are you to be telling them what to do?
Mark 6:4
4Jesus said to them, "Only in his hometown, among his relatives and in his own house is a prophet without honor."
niv

So since this is what the Bible says, I would start praying not only that God change the situation but that He send someone across her path that she will listen to.

Next I believe(MHO) that as a Christian our battle is always in the spiritual realm.
Ephesians 6:12
1 Ephesians 6:12 For we do not wrestle against flesh and blood, but against principalities, against powers, against the rulers of the darkness of this age, against spiritual hosts of wickedness in the heavenly places.


In other words I see spirits of alcohol and addiction tormenting your Mother. She doesn't need AA or detox she needs warfare. So start warring against those two spirits during your prayer time.
First start by praying a hedge of thorns around your Mother. I know in Hosea it says that this was used to keep a wife from adultery (running to her lovers) and I have seen in used in addiction as well. Right now your Mother's lover is alcohol.
Hosea 2:6
6 “ Therefore, behold,
I will hedge up your way with thorns,
And wall her in,
So that she cannot find her paths.

Then you just have to say something like "In The name of Jesus I bind you spirits of addiction and I command you to loose your hold on my Mother and be gone. Father God I ask you to send your Holy Spirit to fill those spaces that are now vacant and lead her back to you. In Jesus Name I pray." But...you must believe that you have the authority to cast out demons, and tread on serpants through Jesus' work on the cross. You may have to do it several times because evil spirits are a pesky bunch and will try to return every time they see an open door. Your Mother will probably leave quite a few of them open (spiritually speaking) before she is back on her feet Spiritually. Do not tell your Mother you are doing it or else the spirits will call for reinforcements.

Hope this helps.....if it doesnt you can always try the world's way. But with persistance and faith I don't think you will need them.

I will be praying for you, your Mother and your situation.
Please let us know how things go.