What is it that your family member sees as dangerously increasing the risk of getting Ebola?

• Going to the UK (perhaps they think the UK is likely to be hit worse than wherever you are now)
• Getting on an aeroplane (perhaps they are concerned by being in close proximity to other people)
• Travelling at all (perhaps they want to minimize the number of different people they interact with)

I am far from being an expert and you shouldn't trust me, but my handwavy judgement is the same as yours.

Possibly relevant Sequence article about the availability heuristic.