Firstly we need to export Gmail address book from Gmail (you can searcheasily how to do it or click HERE ). Ok. Run Thunderbird, go to Tool>Open Address Book (Ctrl+Shift+B), Tool>Import. Then check on Adress Books radio button, next. As you will see, the “Adress Book Fields” and the “Record data to import” are not match! At the first time, I did not pay attention to that so the Address Book of Thunderbird is not totally correct.
So one thing you should do is that we have to move up (//down) the Address Book Fields on the left to match with the “Record data to import”. There are two important fields we need to adjust correctly: Primary Email-Email Address; Second Email Address – Email 2 address (see the image)