Any sudden death is a trial for the survivors, suicide can destroy families and makes the healing process miserable for everyone. I would hope that the neighbor lady gets involved with a group where she can work through what we call "the grief journey".
We bury quite a few suicides, of all ages. The faces of the survivors tells it all: raw, terrible grief, rage, wanting to know why...lots of these people don't leave notes or other indicators of what was wrong so the survivors blame themselves.
www.baue.com is the website for the funeral home/cemetery where I work and we have a large aftercare network, with special groups for young widows, survivors of suicide and other violent deaths. Many other funeral home operators have at least something for survivors, to help them go on and continue with life as best they can.