He left me with a new born baby?

You are a complete and total fool if you honestly believe he left you cover a baby name.

Silly, he is using that as an excuse because he doesn't want to be with you or the child. You need a reality check. He is a cowardly liar.

Take him to court for child support. Leave him alone. He clearly does not want the responsibility of the baby and a relationship with you.

Although that maybe hard to accept, it is actually a blessing because you and the baby would be miserable with an uncaring idiot like him.

You are now free to live your life without him. You eventually will find a real man who loves you and will be happy to raise your child.

File for child support TODAY.

Talk to your doctor about your depression and be proactive to fight it. Your child needs you to be the best you can be. You owe her that much!

I'm assuming it's "his" child.  If he left you "just because" you choose a different name, then he is just using that as an excuse and did not want to have the baby or care for it at all.  Get a lawyer, sue for sold custody and child support.

Leave him be.  Contact a lawyer; demand Sole Custody, Child Support and Supervised Visits only.  HE sounds very insecure.

If you are sick why did you bother getting pregnant since you may end up killing your baby and say it's because you have as you say ( post partum whatever that is )?

Trust and believe~ he is not interested in being a father if he is using THAT as a flimsy excuse to hit the road. Let him go. He isn't worth the sweat he is causing you. Get help for yourself if you are feeling suicidal. Your life needs to center around your baby. Your baby depends on you for everything, and you need to do what is right.

Aside from being emotional issue, this is a legal issue.

He sounds so lame. Leaving over a name is an excuse.That's really not the problem.It's not bad or wrong but this case needs to go to court.That way you set up visitation and child support.It's the way things are done.

And if you can't get help for the depression or suicidal feelings, get the baby to some one who can care for it before giving it to the state.

He’s obviously a pathetic excuse for a man. You should have included him in the decision on the baby’s name, but that’s not a reason to abandon his child. Hopefully he will decide to do the right thing. If not, file for child support ASAP. And regardless of what happens with him, get some help for yourself. You need help for post partum depression, which can be treated with medication. It’s caused by a hormonal imbalance, and it’s very common. Don’t be scared or ashamed to get some help. You need to take care of yourself so you can be a good mother. 

He sounds like a psycho. You're probably better off by yourself.

Yes, just leave him alone. Do not BEG him to come back. He'd enjoy that.