I had a thought that this person might have been about the right age to have served in WW2, but the only WEEKES or WEEKS with a given name of Matthew is:
QX14335 Thomas Matthew WEEKS b. 1915 in Qld (barcode 4851715 on the NAA catalogue)
Doesn't look promising

The-Game/Turner family, is this person involved in your family somehow? I'm just trying to work out how we can find him, was he married into the family, was he the father of a child of your family, was he just an acquaintance that you're trying to find out about? What is the significance of Cowra, is that where your family was?