Answer:
Legacy, that part of someone or something that remains and is left behind or left to someone from certain circumstance after is gone, like a property or the story that occurred to be remembered by; and with eaves we think of the part of a building that overhangs the walls, like a jutting roof, thus we could build this sencence:
"Part of her grandfather's legacy was that homestead in Beijing with lovely eaves and siheyuan architecture."