It does sound like an American woodcock. If it is a male, be on the lookout for its breeding display later in March. Aldo Leopold described their display as a “sky dance”: "The bird flutters skyward in a series of wide spirals, emitting a musical twitter. Up and up he goes, the spirals steeper and smaller, the twittering louder and louder, until the performer is only a speck in the sky. Then, without warning, he tumbles like a crippled plane, giving voice in a soft liquid warble that a March bluebird might envy". It is a worthy show.