An ING cardholder, their spouse, and dependent children are eligible for international travel insurance, provided the ING card has been used in a related purchase. You must spend at least $500 using your ING credit card for your overseas tickets and accommodation in order to qualify, though money spent on airport and travel agent charges are likely to be excluded from the minimum spend.
Any dependents who are less than two years old are eligible for the complimentary ING credit card insurance if they travel with you on the same itinerary during the entire journey. However, any baby born during your overseas travel is not likely to be covered under the complimentary insurance.
Please note that when you, your spouse, and children travel together, only one person is eligible to file a claim at one time, though they may file as a spouse or dependent, not just as the cardholder. 
ING cardholders can file a claim for the complimentary overseas travel insurance by calling 1800 754 190 within Australia or +61 3360 7701 from any other country.