Rockets have technically been around since the Chinese invented gunpowder (from saltpeter, sulfur, and charcoal dust) but I don't think they bothered to name them. The Chinese used these rockets both for warfare and celebrations (i.e. fireworks shows).
The first rocket with the capability of reaching what we call space (60 ~ 70 miles up) was named Vergeltungswaffe 2.
In 1969, the first rocket went to the moon. The name of the rocket that propelled them into space was the Saturn V rocket.
The rocket that took the first man to the moon was the Saturn V rocket.
The name of the rocket that launched the first people on the moon was a Saturn V, on mission Apollo 11.
The Explorer but it wasnt a rocket, it was a satellite
Eagle
Saturn
There really isn't a name for his rocket, though it launched it on March 16, 1926 in Auburn, Mass.
Vostok 8K72K
1969 I think
Waiting for my Rocket to Come
A Russian prostitute
The first rocket sent into space was called V-2, which was launched by Germany in 1944.