[Corrections and additions welcomed to this bit... ]
As I understand it, the classification (Eucrite-mmict) shows that Millbillillie originated from a solar system body (possibly the minor planet Vesta) large enough to form a molten core, and for long enough to allow an iron core to separate from magma formed from molten rock. Being heavy, the iron core settled to the centre of the body, and the lighter magma floated around it in a process know as
differentiation. It was the magma bit that then cooled and became the rock that forms the Eucrite meteorites. It was a chunk of this rock that was ejected during a subsequent impact and spent an age orbiting the Sun before crashing to Earth, in the case of Millbillillie, in 1960.
So, the Eucrites look similar to the basalt rocks that form in a similar way on Earth.