Let me quote a little part of my book (sorry for the translation because I've not yet reviewed it):
An eighteenth-century anti-Masonic text accuses Oliver Cromwell of having created Freemasonry, characterizing it in a Jewish and anti-Catholic sense. In fact, Cromwell was the protagonist of an attempt to bring the Jews back to England from which they had been expelled a few centuries earlier. King Edward I of England (1239-1307), in fact, like other Christian kings of the time, persecuted the Jews forcing them, among other things, to wear a symbol of recognition on their clothes, although it was not the six-pointed star as in Nazi Germany but the two Tables of the Law of Moses. Then, in 1290, they were expelled and remained only the Marranos, that is the Jews who had converted (really or only officially) to Christianity, living in perpetual danger due to various episodes of anti-Semitism.
Cromwell's attempt was unsuccessful and it was only with Charles II Stuart, who lifted the ban in 1655, that the Jews returned to the British islands. This fact, however, reveals that the Jews were not present in Renaissance England and it is therefore unlikely that they could have had any influence on the evolution of Freemasonry before the second half of the seventeenth century. It is therefore unlikely any Jewish influence on Freemasonry at least prior to the birth of modern Freemasonry.
End of quote
I have reported this part to clarify that in middle age freemasonry is very unlikely a "jewish influence". This presumed "jews influence" is due to a mistake that was made along eighteenth and nineteenth century. The reason is tied with the Kabbalah. The original "masonic" Kabbalah (early seventeeth century) was the "Christian Kabbalah" a system, born during Renaissance, to find a way to fuse together the three "a" religions (Judaism, Christianity and Islam). However along 1700 Christian Kabbalah lost popularity while the Hermetic Kabbalah became the basis of western esoterism. However the ancient Masonry was not kabbalistic but was transformed in such a way between the end of seventeenth and the beginning of eighteeenth.
Coming back to the origin, however, in 1726 (three years after the Constitutions) a Mason, Bro. Francis Drake, made one of the first speech that have been conserved and its closing was:
Since we are so happily met to celebrate this Annual Solemnity: let neither Dane nor Norman, Goth nor Vandal, start up, to disturb the Harmony of it: That the World may hear and admire, that even at this critical Time all Parties are buried in Masonry. But let us so behave our selves here and elsewhere, that the distinguishing Characteristicks of the whole Brotherhood may be to be called Good Christians, Loyal Subjects, True Brittons, as well as Free-Masons
"True Brittons" is the anwers. How the "true Brittons" are tied with Romans is explained by the Legend of the Craft.
PS 1: the book is "“I LIBERI MURATORI SCHIACCIATI. Origine, dottrina ed avanzamento della setta filosofica ora dominante. Opera composta da Uom pratichissimo delle Loggie, ora tradotta dall᾿edizione di Amsterdam dal sig.abbate Pietro Mogas sacerdote spagnuolo, confermata con Note relative alle presenti rivoluzioni e novita di Europa dal sig.abbate Pietro Saverio Casseda pompejopolitano.” Assisi, per Ottavio Sgariglia, 1793" an italian version of "Les Francs-Maçons écrasés: Suite du livre intitulé: L'ordre des Francs-Maçons trahi" de l'Abbé Larudan
PS 2: The G.A.O.T.U. was initially a christian kabbalistic concept (The Harmony of the World, Francesco Zorzi or Giorgi 1466-1540, an Italian friar well known in England because he was the consultant of Henry VIII for a divorce). However also John Calvin (1509 - 1564) used this definitiond. I suspect that this was one of the reason of the friction with the Catholic Church: its sound a "protestant concept"!