Not really recommended, since you don't really always want to pause your code but I think you want this:
class Name:
def __init__(self):
self.name = raw_input("Name: ")
However, I'd have to agree that snippsat's solution is a better written class, because if neccessary you could use it on names that you don't get through raw_input like...a list! For example:
#snippseat's class
class Test(object):
def __init__(self,value):
self.value = value
for name in namelist:
test = Test(name)
Unsolved 
