I am indebted to my second cousin Ian Caldwell for providing me with family links back through the medieval Kings of England and Scotland all the way back to Julius Caesar, though this only becomes part of the Newman lineage through his mother Lilian (nee Paynter).
I am also indebted to one of our Victorian ancestors (perhaps even Lilian herself, who was interested in her family tree) for providing me with a hand-written pedigree linking a much earlier part of the Newman line back (separately) to both King Edward I and King Henry III. This I found amongst papers that came to me from my father, and I have copied the original of this pedigree onto a separate page. This lineage goes back from Elizabeth Mompesson (mother of Charles Newman).
For those who think it presumptuous to display one's Royal ancestry in this day and age, I do it with some humility - or at least in the awareness that there is actually little kudos to be gained from it. For instance, I calculate that King Edward I is just one of 4,194,304 Great Great Great Great Great Great Great Great Great Great Great Great Great Great Great Great Great Great Great Great Great Grandfathers that I derive from (less the number of inter-marriages that took place over the generations, and depending on which route I take back to him). Anyway, it can be safely assumed that a sizeable proportion of the population of the UK must be descended from him too!
Footnote: An excellent new biography of King Edward III called "The Perfect King" by Ian Mortimer (published 2006) describes him as "The Father of the English Nation". Several reasons are given to justify this appelation, including amongst others: bringing the English language into the royal court; fostering Arthurian ideals; initiation of the House of Commons; and adoption of St George's cross as England's national flag. Mortimer adds a final 8 page appendix to justify the claim in another way, justifying his claim that perhaps 99% of Englishment of Anglo-Saxon descent carry Edward III's blood in their veins.