] Knights Bachelor and Knights Banneret are included in the tables of precedence in my 1812, 1818, 1828, and 1865 peerages. Is there a good website explaining these terms? I can't find one.

I spoke too soon, before looking them up at Encyclopedia Britannica online:

"banneret: a European medieval knight privileged to display in the field a square banner (as distinct from the tapering pennon of a simple knight). The term was used in countries of French and English speech from the 13th to the 16th century. In 13th-century England any commander of a troop of 10 or more lances who was not a count or an earl was usually a banneret. Later, in both England and France, the style became a title of honour, conferred for distinguished military service. There is no connection between the style of banneret and the baronetage (hereditary dignity) established in England by King James I in 1611."

"knight bachelor: most ancient, albeit lowest ranking, form of English knighthood, with its origin dating back to the 13th century, in the reign of King Henry III. At one time a knight bachelor was a rank that existed on continental Europe as well, but now it survives only in Britain, where the title is still conferred. Historically, the knight bachelor, who was not a member of any order of chivalry, was either a poor vassal who could not afford to fight under his own banner or a knight too young for the responsibility and dignity of the rank of knight banneret. If his services and landed possessions entitled him to promotion, the knight bachelor could apply formally to the commander in the field for the title of banneret.

"James I of Great Britain created a registry in the 17th century for knights bachelors, which eventually lapsed. The Imperial Society of Knights Bachelor, founded in 1908, has since attempted to obtain a uniform registration of every knight created. In 1926 a badge design for knight bachelor depicting a sheathed sword between two spurs was approved and adopted."