Yeah, V8 is the shape of the engine - 8 cylinders in two rows offset at an acute angle (i. e. V-shaped). Likewise a V6 has the same number of cylinders as an inline 6 but performs very differently. There's a handful of different engine shapes - I'm fond of the rotary engines used in early aircraft. Traditionally, the name of an engine was just the year, the manufacturer, and the displacement (like 1965 Ford 352). You often leave off the year and even the manufacturer if it's not required by context.

The Ford 351 is a bit special because there were two different engines made by Ford in the same time period with the same displacement, so they tacked on the city they were manufactured in (Windsor or Cleveland).