Actually, bird strikes aren't that uncommon at all. But a pair of birds killing both engines has only happened once in history that I'm aware of.
Here's a great site for that:
http://www.birdstrike.org/events/signif.htm
It would be just as likely that the ATC guy had a stroke or a sudden fit of Tourette's syndrome as his child's chance of falling out of the chair and breaking his arm while talking to traffic 
*edit* Yipes! Read that MD-80 out of TX...hit 400 birds. THAT would certainly make the flight interesting. Also...cabin depressurization from high-altitude bird strike; never knew of that one.
Vulch Kills!Date: 7 January 1997
Aircraft: MD-80
Airport: Dallas-Fort Worth (TX)
Phase of Flight: Climb (50’ AGL)
Effect on Flight: Precautionary landing
Damage: Engine & wing
Wildlife Species: Blackbirds (437)
Comments from Report: Aircraft struck over 400 birds just after take off. Almost every part of the plane was hit. Pilot declared an emergency and returned to land without event. Substantial damage was found on various parts of the aircraft. #1 engine had to be replaced. Runway was closed for an hour. Personnel were sent to disperse another large flock on the airfield.
Must have mis-ID the Road Runner
Date: 12 June 1999
Aircraft: Beechcraft 90
Airport: Westchester County (NY)
Phase of Flight: Take off
Effect on Flight: Aborted take off
Damage: Landing gear, nose, engines, props, wings, fuselage, lights
Wildlife Species: CoyoteComments from Report: Nose gear was torn from aircraft causing other parts of plane to be damaged. Time out of service 5 months, lost revenue $55,000 and cost of repairs $550,000.
Alternative deer hunting.
Date: 17 December 1997
Aircraft: Bellanca Super Viking
Airport: Jefferson County (OH)
Phase of Flight: Take off
Effect on Flight: Aircraft lost power
Damage: Destroyed
Wildlife Species: White-tailed deerComments from Report: Aircraft hit a deer on take off and lost power, crashing into a heavily wooded area. Aircraft was destroyed. Pilot was life-flighted out and passenger had minor injuries.
Date: 14 January 2001
Aircraft: Learjet 60
Airport: Troy Municipal (AL)
Phase of Flight: Landing
Effect on Flight: Aircraft slid off runway
Damage: Aircraft destroyed
Wildlife Species: White-tailed deerComments from Report: The Learjet collided with two deer and ran off the end of the runway into a ditch because the thrust reversers would not operate. The aircraft burst into flames. Rescuers kept the fire from reaching the pilots for about 40 minutes until they could be removed. The pilot and first officer had serious injuries and were flown to a hospital. The plane was owned by the Dallas Cowboys owner. Cost to replace aircraft $9.5 million. Other costs $25,000.