Judy, my condolences for your loss.
If (when) you get in contact with someone at DL, please note that bereavement fares are some percentage off of full coach fares.
I recognize that minimizing cost may not be your highest priority right now, but you may want to ask the agent if the bereavement fare is actually the lowest cost fare.
Perhaps someone else could add some perspective here. I have heard that there may be more flexibility on changing return schedules on bereavement fares, but I cannot swear to that.