A Gathlain Bard with the Flame Dancer archetype can get both as Bard spells. Fireball is obtained from the archetype at level 8 and flame blade can be obtained from the Gathlain favored class bonus starting at level 7.
Incidently, I also found the Flame Blade Dervish Combat feat while looking up the other stuff. It adds 10ft to base speed while flame blade is active and adds your charisma modifier to its damage.