Just checked booking conditions on two airlines. If your daughter has her own passport and you are travelling with her, you should not have a problem as the requirement is that children must be accompanied by AN ADULT OVER THE AGE OF 18 YEARS.
There is no stipulation of the relationship of child to accompanying adult and the situation where children travel with grandparents of differing surnames must be quite common.
Suggest you check the booking conditions of the airline you intend to use.