Many thanks for your prompt response, and apologies for not mentioning that I found a reference to iPhoto library manager in another one of your posts.
When I tried to rebuild the library using iPhoto library manager, it exited with an error saying:
"iPhoto library manager is unable to open the library "Default library" (incompatible iPhoto version). The version of iPhoto you have installed (8.1.2) is not compatible with the version of OS X on the machine (10.11.2)."
It then refers to its own support function for instructions on how to update iPhoto.
The preferred method they give is to get the App store to reinstall a version of iPhoto, with instructions on how to unhide purchases and how to force the app store to rescan the applications folder. None of this worked. The alternative suggested by iPhoto library manager is to roll back the system version and try again, but since I'm supporting someone remotely, that's highly undesirable.
At this point, I think I'm going to try the following:
1. Send a copy of the app bundle of the last version of iPhoto (9.6.1) from my own machine and see whether that will run and import the library, and then move everything to photos
2. Transfer a copy of the library to my own machine and open up the package to see whether I can get at the raw image assets, and import those into a Photos library