The “Turk’s Head” doesn’t represent a particular person. As an emblematic design, it probably has its roots in the times of the Crusades, when turbaned "Turks", along with "Saracens" were the non-Christian (synonymous with Muslim or Arab) enemies. Even before the Crusades proper began in 1096, the spread of the Ottoman Empire resulted in frequent raids of European coastal towns by pirates and slave-traders operating out of the Iberian peninsula and, after they had been pushed back, from North African ports such as Salé, Rabat, Algiers, Tunis, and Tripoli. These later raids, from the 16th Century, peaking in the mid-17th Century and through to about 1780 were conducted by what came to be known as “Barbary corsairs”, who captured thousands of European merchant ships and tens of thousands of slaves, making large stretches of the Spanish and Italian coasts unwise places to live.
The raids extended as far north as Iceland and Britain didn’t escape. On the extreme southwest tip of Britain sits the port of Penzance, which saw frequent raiding in Mediaeval times, leading to one of it’s taverns adopting the name of “The Turk’s Head” around 1233 and there is still a pub of that name with the turbaned head sign on that site today. There’s another one in Exeter on the same stretch of coast dating to 1289 with unsubstantiated claims that the name derives from its former use as a prison when a Turkish captive was held there prior to his appointment with the axe; or that there used to be a jousting ground at the rear of the establishment where a Saracens Head was used as a target.
Thereafter, it became a popular name for pubs around the country, including those that were far inland and never saw any pirate raids, and the imagery progressively crept into all kinds of ornamentation, from furniture to tobacco pipes... spreading to pipemakers in America too. We still have dozens (perhaps hundreds) of pubs with the “Turk’s Head” sign today, as well as numerous “Saracen’s Head” pub signs with the same imagery.