Can anyone help me make contact with Lady Gaga about song lyrics written that I think she would be suited to singing?

Unfortunately, I am not able to provide you with contact information for Lady Gaga. Reaching out to her team with your song lyrics would be the most effective way to try to get your work noticed by her. However, artists like her generally have a considerable amount of submissions sent to them, and it can be difficult to ensure yours will be reviewed. Persistence is usually necessary when submitting your work to well known artists.