My wife and I just had our first, Scout, back in December.
1 - DON'T MAKE A BIG DEAL OUT OF NAMES. Everyone will have something to say about names. My wife and I both made separate lists of names we thought we liked. We added names to our list and shared the lists a couple times, vetoing some of the other's suggestions. When it came time to head to the hospital, we had a master list of names (8 I think) that we both concurred.
2 - YOU DON'T HAVE TO HAVE A NAME RIGHT AWAY. In some places, you don't even need to have a name for your child for several weeks, even months, until after your child is born. We hung out with Scout and got to know her in the hospital. She was probably 12 hours old before we decided on her name.
3 - DON'T SHARE YOU NAME IDEAS WITH OTHER PEOPLE, except, of course, your wife. Everyone has an opinion. Don't let people sway your mind. This is your child, not theirs.
Finally, don't sweat names. At 5 weeks you still have a lot of time on your hands that should be doing better things. We bought a house, built out and painted Scout's room, collected (and assembled, ug) the furniture needed, took all the classes insurance/hospitals like you to take (a TON) and so on. Names, IMO, are not as important as making sure you have your home in order. Names will come to you. The house won't take care of itself.