Interesting question. Coronography (we usually say coronary angiography) refers to the intravascular study of the coronary vessels. It is a crude technique if you think about it. Dye gets injected into your coronary arteries and a special xray camera is able to see the contours of these vessels. If there is a narrowing (or blockage), you are told you have advanced coronary artery disease and are presented with options (stenting, drugs, surgery, etc.). I said it was crude, because in the future, we hope to develop purely radiologic systems that will not require the use of the dye (many people are allergic to it, it can affect the kidney function, etc.).
Tissue doppler is a sonographic technique allowing for detection of regional wall motion abnormalities in a beating heart. Usually it is used in the context of a "stress test," where your heart gets exposed to excercise or a drug called dobutamine. Such "dobutamine stress echo," with the help of tissue doppler techniques allows the echocardiographer to see if any parts of your heart are beating incorrectly (they could be hypokinetic=weak beating, or akinetic=no beating at all).
The correlation between coronarography and tissue doppler results is this: A blocked coronary artery that is seen on angiography may result in either death or stunning of the heart muscle, resulting in diminished wall motion on the tissue doppler. So in a sense, both of these techniques are complementary in establishing that you have a clinically significant coroanry artery disease that needs some intervention. Hope that helps!