Your comments

Thanks Enrique. Problems all solved. You asked which iOS I'm using 5.1 which did seem to list Events as well as editable Albums. Nick
Hi Enrique - thanks for your reply. You may be right about "Editable" albums - I didn't know there was a distinction. How can you tell whether an album is editable?

Incidentally, I have now successfully created a new album and exported photos to it - I had simply misunderstood the instructions. I now see that if you want a new album you have to create it first, and then export photos to it - a two-stage process. The layout of the export webpage made it look like a one-stage process. May I suggest that the user is asked whether to create a new album first, if yes - give it a name, and then choose the album to export to. Great app thanks. I'd be interested in an answer to the editable question above.
I have the same (or very similar) problem. Angus - have you turned "Location services" on for the Photo Transfer App? My problem specifically: If I try to transfer from Mac to iPad, I can connect OK, and I can see "Camera Roll" as an album to export to and one of my other albums, but not all of my albums. I can also see a long list of dates, which I think are "Events" created within iPhoto. I have tried to create a new album, but the photos ended up being exported to Camera Roll, and the new album was not exported.