Blazon: Per pale or a bull passant gules on a base vert within a bordure of the field charged with eight flames of the last and barry of six or and gules*
Rodrigo used these arms at least since his election to the papacy; he may have taken that opportunity to add to his family’s traditional arms. I cannot find any record of the origin of the sinister arms, though several other later Borgias used them as well. They may be a reference to the arms of Aragon, where he was born.
Blazon: Vert a pile barry argent and sable surmounted by a chief per fess dancetty of the second and the first
Supposedly, the arms represent highly stylized geographic features; the three points of the dancetty partition line being mountains, and the pile on the field vert being a dam in the steep valley where the town is located.
Blazon: Per quarterly I and IV lozengy argent and gules (Appiani), II and III per quarterly i and iv tierced per pale 1 barry of eight gules and argent (Hungary ancien), 2 azure semé de lis or (France ancien), and 3 argent a cross paté between four crosses or (Jerusalem), ii and iii or four palets gules (Aragon); overall a chief gules a cross argent (Savoy)
“Louis” appears to be Alfonso d’Appiani, brother of Jacopo VI. He seems to have been a military man, possibly serving under Ferdinando II de’ Medici, Grand Duke of Tuscany.
Blazon: Per quarterly I and IV lozengy argent and gules (Appiani), II and III per quarterly i and iv tierced per pale 1 barry of eight gules and argent (Hungary ancien), 2 azure semé de lis or (France ancien), and 3 argent a cross paté between four crosses or (Jerusalem), ii and iii or four palets gules (Aragon)
The alliance between the Appianis and the house of Aragon began (informally) in 1445, when Emanuele Appiani married Colia de’ Giudici, the illegitimate daughter of King Alfonso V of Naples. His great-grandson Jacopo V also married into the house of Aragon via Marianna of Aragon in 1510, though she died before she could bear any children.
Marquis of Mortemart 1643-1663, duke of Mortemart 1663-1675 (1600-1675)
Blazon: Party of eight I gules a crescent vair (Maure), II azure three fleurs-de-lis or surmounted by a bendlet couped gules (Bourbon), III gules nine mascles 3, 3, and 3 or (Rohan), IV barry of ten argent and azure, three chevronels gules (La Rochefoucauld); V argent a serpent nowed azure, crowned or, and devouring a child gules (Milan), VI gules a chain in saltire, cross, and orle or, charged with a center point vert (Navarre), VII gules a pale vair (des Cars), VIII ermine (Bretagne); overall in the fess point an escutcheon barry nebuly of six argent and gules (Rochechouart)
Count of Uzès 1546-1566, duke of Uzès 1566-1573, count of Crussol 1572-1573 (1528-1573)
Blazon: Per quarterly I and IV per pale i barry of six or and vert (Crussol) and ii or three chevronels sable (Levis), II and III per pale i azure three molets of five points in pale or (Gourdon) and ii or three bendlets gules (Genouillac); overall in the fess point an escutcheon gules three bendlets or (Uzès)