Yes depends on the exact wording of the question. It seems to be asking about there own hits as The Shadows. They were indeed off course listed earlier on Cliffs first sing Move It. tho even then they were labelled as the Drifters
If its a trick question or badly worded/misquaoted it could be Travellin Light as that was the first one where they were credited as The Shadows ona Cliff Richard song and was before Apache. Move it could be discounted as it was Cliff and The Drifters
https://www.officialcharts.com/artist/8804/shadows/
'Apache', in 1960, was their first Number 1 single but they'd previously released three other (non-charting) singles. (One as 'The Shadows' and, before that, two as 'The Drifters'):
https://en.wikipedia.org/wiki/The_Shadows_discography