Before you try doing any conversions, I would recommend getting in contact with your relative in Britain to see how old their TV and DVD player are. The majority of European TVs in the past 10 years (especially those since 2000) are PAL60 compatible. Most European DVD players support NTSC (don't confuse this with regioning) and will either output a PAL60 (or sometimes a standard PAL50) signal when playing an NTSC disc.
In the worst case, they can still view your home-made DVD on their PC (assuming they have one). As DVD recorders do not put a region code on recordable discs, your relative's DVD player does not have to be region free to play your disc.