In reply to mountain.martin:
Most walls offer either 1-2-1s for a beginner or to join a group beginner class, these can be either a single session or several sessions over several weeks.
One thing that may hinder you, as the mother does not climb, would be if the wall has ropes already "in-stitu" so the child would not have to lead any of the routes first. Some walls have none, some to many.
Auto belays are becoming quite common in many walls so if the wall had these and some ropes already up this would help, otherwise the child would have to lead the climbs.
Some climbing centres may put some ropes up for you if asked but am not sure about this.
Post edited at 15:47