You searched for: “eave
eave, eve
eave (EEV, EEVZ) (noun)
The lower edge of a roof that overhangs the sides of a housing structure: The wide eave of the roof was painted bright yellow to contrast with the green walls.
eve (EEV) (noun)
1. Typically used to refer to the night before a special day: December 31 is New Year’s Eve and many people like to go to parties.
2. The period of time just before an important event: The students were nervous on the eve of their graduation.

It was on a cold winter’s eve, just a week before New Year’s Eve, Mary and Andra thought they heard the crack of an icicle breaking from the eave at the front of the house and so they went out to investigate.