then there is another break of the male line at Mary Stuart her brother should have been King Mary Abdicated at Loch Leven Castle 1567 you can make your own mind up from there
A few points on this one:
Mary Queen of Scots inherited the throne from her father because she was his only legitimate child - legitimacy being essential to be recognised as a monarch at that time. Her father's illegitimate sons had no claim for the simple reason that there were illegitimate. Her other half-brothers had no claim because they weren't her father's sons but her mother's.
She was succeeded by her only son - James I and VI who joined the two thrones together when he succeeded his cousin Elizabeth in 1603.
The present BRF claims direct descent from James I and VI and thus from Mary, Queen of Scots.
James - Elizabeth - Sophie - George I - George II - George III - George IV - William IV - Victoria - Edward VII - George V - Edward VIII - George VI - Elizabeth II - Charles - William - George
The Tony Robinson story is a nice story but based on not much - the date of a birth and counting back nine months and the fact that the child was quickly baptised - which probably means the child was in fact premature and thus baptised quickly. However the child survived, became King and ... then had his brother defeated in battle. It totally ignores the fact that Henry VII won the throne through right of conquest and not right of blood in the first place.
I don't know who this 'lost king' is supposed to be as I have no knowledge of Scottish kings but there is no 'lost king' in England as all can clearly be identified to their predecessor back to around the 800s.
Another point you seem to be struggling with is the consequence of the English Civil War - parliament won and so parliament won the right to decide who would be the monarch and they decided in 1660 to restore Charles II, they decided in 1689 to remove James II and his son and replace James II with the elder of his two daughters, Mary and her husband, William with the younger of James II's daughters as their successor and so we get Queen Anne.
When it was clear that none of these three were going to provide a legitimate heir (William was third in line in his own right when he and Mary became the King and Queen) they introduced the Act of Settlement - to bar Roman Catholics from the throne (still stands today) and also to bar those married to Roman Catholics from the throne (again still stands but in the process of being removed). This is specified in the Act with the use of the words Popish and Rome. As a result Sophie was the first eligible person in the line of succession and so she became the heiress presumptive. When she died, shortly before Anne the claim passed to her son George who became George I and his line still sits on the throne today.
Elizabeth can count amongst her ancestors - Stuarts/Stewarts, Tudors, Plantagenets, Normans, and Anglo-Saxon monarchs.
Women have been able to claim the English throne since 1553 when Mary Tudor became Queen and descent through female lines has produced Kings as far back as Stephen (female line grandson of William the Conqueror) and Matilda - daughter of Henry I but whose son inherited as Henry II.