Open your preferred internet browser and search engine. Input the song name, or some lyrics into the search bar.
Click the "Search" button. Check the first 5 search results for links that relate to the song name or lyrics you have entered. If the results are positive, the artist name will be included.
Open iTunes on your computer. If you need to download it, check the Resources.
Click on the "iTunes Store" icon on the left of the application window.
Input the song name into the search bar in the upper right corner and hit the "Enter" key. A list of song names along with the corresponding artists will be given.
Click the sample button to the left of the song name to have a listen, if you see you have multiple results for the same title. Once you have found the sample of the song you were looking for, you can look to the right to see the artist name.