The term HIGH HOME can be solved by three different crossword solutions: AERIE (5 letters), NEST (4 letters) and EYRIE (5 letters). An AERIE is a large NEST of a bird of prey, such as an eagle or hawk, built high up in a tree or on a cliff. A NEST is a structure built by a bird to hold its eggs and young. An EYRIE is a lofty NEST built by a bird of prey, typically on a cliff or in a tree. All three terms refer to a home built at a high altitude.