A.A.
I can answer this one, but it depends a lot on how westernized they are. No baby gifts before the birth, its bad luck. They won't hold a baby shower. If you know the sons that got married, which you probably do since they appear to be long time neighbors then a wedding gift would definitely be in order for the happy couple if you've not done so already. Meanwhile visit them, send over a meal and invite them for a meal. I know a bit about Iraqis and would be happy to answer any other questions, just send me a message.