If you think you are adopted and know who may be your real mother how would you go about verifying that information?

Well, if possible, snatch some hair, saliva, or something and have a DNA test run. However, I think that requires the consent of the person in question, so . . . If that doesn't work out, then compare phenotypical features:

Potential Mother has brown hair . . . You have brown hair . . . Check!

Potential Mother has one eye . . . You have one eye . . . Check!

Potential Mother has a cleft chin . . . You have a cleft chin . . . Check!

I'd say by then you're getting pretty close. Nevertheless, you could just be being paranoid.