vilao

One root, and not the hairy one. Esperanto has an adjective vila, meaning shaggy or covered in hair, from Latin villus, a tuft. It is a rare word and it is not related to this one, which comes from Latin villa, a country house. Same first three letters, different Latin, different meaning: a vilao is not a hairy anything. There is no seam to cut here either - vil- is the whole root and -ao is not a suffix, just the root's own a followed by the noun ending.

The cousin you already know. Vilaĝo, a village, at rank 498, is from the same Latin villa by way of French village - the estate that turned into a settlement. So vilao and vilaĝo really are relatives, unlike vilao and vila. This is the pattern of the whole chapter in miniature: the resemblance you can see is the false one and the resemblance you cannot see is real.

What it means now. A vilao is a detached house with grounds, usually comfortable, usually somewhere pleasant - the seaside, the hills, the edge of a city. It carries a whiff of lukso without insisting on it. A bieno is the working estate or farm, a domo any house at all, domego a mansion by size rather than by style, and dometo a cottage.

Roman ancestry, still visible. The Latin villa was a working farm with a comfortable house attached, and the archaeology of Roman Britain is largely the archaeology of these. The modern word kept the comfort and dropped the farm, which is roughly what happened to the buildings.