A classic name for a birthday person is "Birthday Boy" , or "Birthday Girl".
Some people call that your golden birthday.
Its called your Golden Birthday or its called your Champagne Birthday
ebay
Host
birth buddy
birthday boy/girl (...or newborn, if you really want to get technical) == ==
There is no special name for a person with the same birthday as yours and is not related. There may be thousands of people with your birth date.
Yes, you should call and thank the person for your birthday gift as it shows you appreciate the effort they made for you.
If they are related then they are twins?
an awesome birthday
* A person with a rotten sense of timing. The person could have waited until after your birthday before breaking up with you. Consider this action by this person in your favor. You can do better!