Turns out, the whole text of the funeral was easily obtained from: http://www.abcnews.com/sections/world/diana_funeral_program/index.html. Sorry to put others to trouble.

For those interested, the hymns included:

I Vow To Thee My Country,
Lyrics by Cecil Spring-Rice (1859-1918)
Music by Gustav Holst (1874-1934).

The King of Love My Shepherd Is,
Dominus regit me.
J. B. Dykes (1823-76),
H. W. Baker (1821-77),
Psalm 23.

Make Me A Channel of Thy Peace,
Sebastian Temple,
St Francis of Assisi,
translated by Sebastian Temple.

Guide Me, O Thou Great Redeemer,
Cwm Rhondda.
John Hughes (1873-1932),
W. Williams (1717-91) translated by P. Williams.

These are the lyrics I was seeking, sung to the Air from County Derry, (Danny Boy, to the Irishly ignorant like me):

(No title given.)

I would be true, for there are those that trust me.
I would be pure, for there are those that care.
I would be strong, for there is much to suffer.
I would be brave, for there is much to dare.
I would be friend of all, the foe, the friendless.
I would be giving, and forget the gift,
I would be humble, for I know my weakness,
I would look up, laugh, love and live.

Air from County Derry,
in G Petrie: The Ancient Music of Ireland (1853),
Howard Arnold Walter.

(Still like it, sounded lovely.)

For Peter T., this is John Taverner's work:

ALLELUIA. May flights of angels sing thee to thy rest.
Remember me O lord, when you come into your kingdom.
Give rest O Lord to your handmaid, who has fallen asleep.
The choir of saints have found the well-spring of life, and door of paradise.
Life: a shadow and a dream.
Weeping at the grave creates the song:
Alleluia. Come, enjoy rewards and crowns I have prepared for you.

John Tavener (b 1944),
extracts from William Shakespeare: Hamlet,
and the Orthodox Funeral Service.

Shula