Between silent and boom

So, if the Silent Generation was born in the years 1925 through 1942, and the Baby Boomers were born in the years 1946 through 1960, is everybody born in the years 1943 through 1945 a War Baby? And does the demographic cohort born before the Silent Generation have a nickname? And don't say it's "The Greatest Generation"! The links come from a schlocky site with "ThinkQuest" in the name.