Tolka,
What clearance was provided initially by Jersey?
It sounds to me like he was not on an airways route so Jersey would only clear them to the zone boundry and then hand them to London Information. If they were route planned airways (ie controlled airspace out of Jersey) they would be given a further clearance in all likelyhood and be passed over to London Information.
There's not really a disconnect. If they are IFR and are leaving the zone into class G airspace then they will get London Information as no clearance can be provided - if they are leaving and staying in controlled airspace then they will be handed over to London control.
Derek...