Helping a family during a time of mourning, is often as simple as a sincere statement of sympathy.
During a time of mourning, we can often help the family members with an effort that does not require a lot of time or investment, according to the Wills, Trusts & Estates Prof Blog in "How Condolences Alleviate Grief."
The easiest and one of the best ways to help people mourning for a loved one, is to let them know we care and to offer our condolences. This does not require a grand gesture. It only requires a sincere statement of sympathy.
Sending a card or flowers is another way to offer condolences. Charitable donations in the name of the deceased are another small thing that can let grieving people know that you care.
This is important. Knowing that other people really do care helps those who are grieving.
It does not fix everything. It does not bring anyone back to life. Nevertheless, it does help people move on and makes it easier for them to handle other things that need to be done when a loved one passes away, such as making funeral arrangements and dealing with the estate.
Reference: Wills, Trusts & Estates Prof Blog (March 20, 2017) "How Condolences Alleviate Grief."