On the Photo Stream page has date 19 april [2 days ago] 0 photos.
You may want to try again to add some photos to your stream and make sure, both macs are online. Do you see your mac syncing and uploading the stream? And does your Mac still show the Stream as "Shared to .... your wife"?
Where should down loaded albums appear?
On both macs you would see the Photo Stream contents in your User Library.