I am so sorry for your loss. I went through the same thing with my mother, she went into such a deep depression that she would no longer eat or dress herself. We ended up forcing her to go to a 5 day behavioral therapy inpatient program which saved her life. She was put on a mild antidepressant and she came through it. 3 months is a very short time to recover from losing a parent, and it's natural to question yourself or feel guilt. Let her feel her feelings. They have grief support groups solely for people who lose their mothers. Check your hospital. Also, she may need short-term medication to get her through this. I feel very badly for you because I know how hard it is to deal with your own grief while parenting your parent.
Eternal Father, I know that you have a reason for everything which you will use for our ultimate good even though we don't understand now. I ask for your blessings for ### and her family. Surround them with Your Holy Spirit and grant them the peace that only you can give while they go through the grieving process. Help them to stay strong, Father, on days when they are bowed down by grief, and protect them from all evil and negativity during this time. Allow them to come through this process whole, and complete their work here on earth until they are reunited with their loved one in Your Eternal Home. Amen.