Record a live stream

Please be kind this is my first time using Apple Support Communities. I was wondering if there is a way to record a live stream. What I am needing is, we have a friend that is playing her first soccer game overseas and the game starts at 4am our time. Our daughter really wants to watch the game, but can't get up at 4am due to school, so I wanted to get up and set up live stream and some how record it for her. We have ipads, iphones, Apple TV & a MacBook Air. Any suggestions or options? Thanks!