This is my problem: I've backed up and/or sync my old photo albums from my iPhone 5s, and I deleted them from my list of albums on my phone just like you said.
However, when I try to upload a picture or a few pictures to Facebook, the list of all my old folders automatically shows. And the new folders I added after I deleted the old ones do not appear.
Here is an example: Boston and Iceland is an old album no longer showing in my list of folders on my phone. I previously deleted it.
But when I try to share a photo on Facebook, it always shows the old albums as the only choice, and boston and Iceland is evidently the default in the list. I realized this when several people mentioned and asked me if my grandaughter had gone to Iceland with us.
Can you help?