Finished reading Viking Britain by Thomas Williams.
It's an interesting book to read, that introduces some basic ideas about Viking/Norse culture, then goes into a long account of the Viking attacks on Britain between 800-1050 AD. There are some nice sections of prose and some personal notes about his journeys in researching this book.
But... but... but...
It's not a history of the Vikings, or the Vikings in Britain, or even Viking Britain - it's a history of the Anglo-Saxons fighting the Vikings, the rise of the House of Wessex, with some explanation of who they were fighting (ie, Vikings).
Although Williams does mention a few archaeological discoveries, in a single page he dismisses the rest of the archaeological record and its interpretation as too complicated and too full of arguments to cover in the book. Which basically sounds like Williams is completely out of his depth outside of reading the Anglo-Saxon Chronicles and a few Norse sagas.
Additionally, as with too many books, Williams makes the classic mistake of presuming England = Britain. So we get a lot of English history - specifically based in the South of England - but only a few brief mentions of the long-standing Viking kingdoms based along the coast of Scotland the Isle of Man (are they no longer British?), let alone any in-depth discussion of the Danelaw itself and the establishment of Viking culture in Northern Britain.
So, a well-written and interesting source for discussion of the Anglo-Saxons with some insight into their enemies - but a book about this Vikings this is not.