I had such a good reply composed and then it vanished. I will try to recall it: Last fall a friend died in a car wreck. I sang Eric Clapton's No Tears in Heaven for her. (I don't know how I managed--strength from above, I guess!) Also did Poor Wayfaring stranger. Sang this for my elderly uncle last week as well. (Funeral) It can be adapted to fit the person by adding or subtracting verses regarding family members 9 (bro, sis, father, mother) if the person still has these family members surviving, you can put in "I'm goin' there no more to wander, I'm goin' there no more to roam" it rhymes with home.... I also have found a couple of gems regarding the subject of death, but they are better sung before death, as the subject is sort of a "be here now" type deal thus: Give Me the Roses--apparently an old Carter family tune originally composed by a Welsh miner around the turn of the century (from Cornwall)

GIVE ME THE ROSES WHILE I LIVE
------------------------------
Heard on Prairie Home Companion
As sung by
Greg Brown and Kate Mackenzie

  D
  Wonderful things of folks are said,
   A
  When they have passed away.
    D
  Flowers adorn the narrow bed,
  A                      A  A7
  And over the sleeping lay.
  
  CHORUS:
                G                   D                   D
  Give me the roses while I live, trying to cheer me on,
             D                                  A               
  Useless the flowers that you give, after the soul is gone.
  
  
   D                                  A
  Folks are forgiven when folks lie, cold in the narrow bed.
   D                                 A
  Let us forgive them ere they die, now should the words be said.
  
  CHORUS
    D                                 A
  Praises are heard not by the dead, roses they cannot see.
   D                                     A
  Let us not wait till souls have fled, tenderest friends to be.
  
  CHORUS, REPEAT CHORUS

This sort of reflects the sentiments of a tune categorized as an old gospel tune sung by Terry Allen which states:

If you can't give me flowers while I'm living,
Don't stick any lilies in my hands
(Or something like that)

And lastly, the song which is appropriate for so many purposes, an all-purpose song good for weddings, lullabies, birthdays, as well as funerals is Bob Dylan's Forever Young. I once sang it a teen-age suicide victim's funeral---whew!