At the time Columbia lifted off, her parents were at the Kennedy Space Centre.

Explanation:
The Kennedy Space Centre is the correct answer because it is the launch site for the Columbia Space Shuttle. Here is a detailed explanation:

1. Kennedy Space Centre:
- The Kennedy Space Centre is located in Florida, USA.
- It is a major spaceport that has been used for various space missions, including the launch of the Columbia Space Shuttle.
- The space centre is operated by NASA (National Aeronautics and Space Administration), the United States' space agency.

2. Columbia Space Shuttle:
- The Columbia Space Shuttle was the first operational space shuttle in NASA's Space Shuttle program.
- It was named after the Columbia River, which is located in the Pacific Northwest region of the United States.
- The Columbia Space Shuttle was used for various missions, including scientific research and the deployment of satellites.

3. Lift-off of Columbia:
- The lift-off refers to the moment when the space shuttle leaves the ground and begins its ascent into space.
- The exact time of the Columbia's lift-off would depend on the specific mission it was undertaking.
- Columbia had multiple successful lift-offs during its operational period, which lasted from 1981 to 2003.

4. Her parents' location:
- The question states that "her parents" were at a specific location at the time of Columbia's lift-off.
- It does not provide any specific information about who "her" refers to, but we can assume that it is a person related to the question or context.
- Based on the given options, the correct answer is option 'A' - Kennedy Space Centre.

In conclusion, her parents were at the Kennedy Space Centre at the time Columbia lifted off because it is the launch site for the Columbia Space Shuttle.