From which poem are the following lines extracted? “Once
more the storm is hauling and half hid Under this cradle-hood
and coverlid, My child sleeps on. There is no obstacle. But
Gregory’s wood and one bare hill”.

The correct option is “A Prayer for My Daughter”.

Detailed Explanation:
The quoted lines are the opening lines of the famous poem “A Prayer for My Daughter”, written by the Irish poet William Butler Yeats (W. B. Yeats) in 1919 and published in 1921.
Here is a breakdown of the key elements in these lines that identify the poem:
1. The Setting and Subject: The phrase “My child sleeps on” directly introduces the subject of the poem. Yeats wrote this poem for his newborn daughter, Anne Yeats, during a time of political unrest in Ireland (the Anglo-Irish War) and personal anxiety.
2. Imagery: The “cradle-hood and coverlid” refer to the baby's cradle and blanket, emphasizing the vulnerability of the sleeping infant while a violent storm rages outside.
3. Geographical References: The mention of “Gregory’s wood” refers to the woods at Coole Park, the estate of Yeats’s close friend and collaborator Lady Gregory, which was located near Yeats’s own tower house, Thoor Ballylee, in County Galway, Ireland. The “one bare hill” refers to the surrounding Irish landscape that offered little protection against the howling Atlantic wind.