New York Times access

I was teaching a couple of sections of English 2100 yesterday, and the professor wanted the students to search for newspaper articles, among other things. When they find articles in databases like Academic Search Premier, the “Find It” link brings them to a Factiva or Lexis Nexis search page. I was able to help them get what they needed, but they were confused when they came to another search box. Have other people encountered this? I know we can search the Times directly, but it would be helpful for the students if the link brought them to the article.