Hi Diggit
The divorce record would / should, contain information on any children of the union. (I don't see a divorce for this couple on the Archives NZ website .... not all records though are listed online .... but they (Archives), do have an in-house register of divorce records).
Unfortunately, NZ death records, only list the "
ages of living issue" so obtaining the death certificate for Laura, wouldn't give you a great amount of information about any children.
However, there may have been a funeral notice for her ... my local library has filmed newspapers - I'll check in the next week (might just save you the expense of getting the divorce record. )

Lu