Hi John. How did you move your photos to the new computer? Are they in the same folder hiearchy as the original computer (including account name for images placed in the My Pictures folder)? If not, there may be problems transfering over the catalog information.
Did you transfer the catalog folder to the new computer? The catalog folder is the one where you will find a file named catalog.pse8db.
When you answer my questions, we can give you more help. In the meantime, take a look at this Adobe HelpX article.