The opener scored 82 off 41 balls in a four-wicket win at Southampton.
David Willey and Sam Billings rescued England after a middle-order collapse.
Rashid became the first England spinner to record 150 ODI wickets while Campher top-scored with 68 for Ireland.
The leg-spinner helped England win the trophy last year.
Morgan admits England should have won "more commandingly".
Rash reveals how injections got him through the World Cup...
Adil Rashid out for the season...
Rashid has claimed that the shoulder problem he sustained before the World Cup is getting better with time.
"Hopefully I'm fully fit, or verging on fully fit, and coming into the game I'll be ready to go."