kingjj: Emergency call takers are required to confirm phone numbers as a part of standard questioning, even with CLI (caller location information) the numbers displayed are often incorrect (for instance, often if you are roaming onto a different network to place a 111 call the number will show on the CLI as a network roaming number). CLI is not full proof and often incorrect or non-existent. If you call from a landline than normally (not always) it will provide your physical address, however you will still be required to confirm this as location it it not always exact. If you call from a cellphone it will usually display your number and the area you are calling from (eg 21123456 Auckland Mobile).
Please visit 111.govt.nz for more information on the type of questioning used by the services and advice for making calls.
tardtasticx, you could make a complaint, but I can tell you that if your only issue is what you've typed than your complaint won't go anywhere. There's nothing offensive, unprofessional or inappropriate about that question, IMHO I would consider it a good question for building rapport with the caller. Give the Call Takers a break, the job is extremely stressful and the idle small talk helps to make the situation less tense.
Entirely this! It's not like they were giving you over the phone instructions on how to resuscitate him and started this in the middle of it.