When I complained about this very same problem my wife (a librarian) reminded me that the public library has a fully searchable on-line catalog of all it's periodicals.
All I need is my card number and I can search the entire database for the missing article and get a date, volume, and page number back in seconds!
I can even search other libraries or national archives from the same site. Heck they will even order an article I don't have through the inter-library loan system. And it's all a free service!