While on a Tall Ships cruise in the Scottish Islands this year, I was in Stromness in Orkney and saw the house where Lady Franklin lived during part of the time when searches were organised. The small museum in the town has a number of relics of the expedition - the first traces of which were found by an Orkney man (Dr. John Rae?) who worked with the Hudsnon's Bay Company. It is also claimed he invented the inflatable boat! Beatty's book is indeed called "Frozen in Time".
Regards
p.s. Do we know the "faster song"?