I can see the EXIF on the two of these.
The swan photo:
Camera Maker: NIKON CORPORATION
Camera Model: NIKON D7000
Lens: 120.0-400.0 mm f/4.5-5.6
Image Date: 2014-03-01 10:17:55 +0000
Focal Length: 400mm (35mm equivalent: 600mm)
Aperture: f/8.0
Exposure Time: 0.0040 s (1/250)
ISO equiv: 100
Exposure Bias: none
Metering Mode: Matrix
Exposure: aperture priority (semi-auto)
White Balance: Auto
Flash Fired: No (enforced)
Orientation: Normal
Color Space: sRGB
GPS Coordinate: undefined, undefined
Copyright: MIKEWILKINSON
Software: Adobe Photoshop Elements 11.0 Windows
The Black photo:
Camera Maker: NIKON CORPORATION
Camera Model: NIKON D7000
Lens: 0.0 mm f/0.0
Image Date: 2014-03-01 10:27:34 +0000
Focal Length: 200mm (35mm equivalent: 300mm)
Aperture: f/4.0
Exposure Time: 0.0040 s (1/250)
ISO equiv: 100
Exposure Bias: none
Metering Mode: Matrix
Exposure: aperture priority (semi-auto)
White Balance: Auto
Flash Fired: No (enforced)
Orientation: Normal
Color Space: sRGB
GPS Coordinate: undefined, undefined
Copyright: MIKEWILKINSON
Software: Adobe Photoshop Elements 11.0 Windows
As you stated, there's no lens information on the black shot. The black image is not entirely black, which has me believing that it just fired off with the lens in its rest state (smallest aperture), which is why you got a dark image since it's shooting 1/250 at f/22 and ISO 100. Here's what I got when I boosted the EV to +5 in LR (sorry - my import accidentally overwrote some of your copyright exif)
Given that it works some of the time I would check to make sure you have clean contacts on both the camera and the lens, and that the mounting ring isn't damaged in any way that would cause it to lose contact (I'm assuming the 120-400mm has a metal mounting right, right?).