Here is a proposed list of ruling authorities for the Duchy of Lorraine.
Sources:
1. Wikipedia for House of Ardenne-Bar and House of Ardenne-Verdun (and Adalbert)
2. de Saulcy, Recherches sur les Monnaies des Ducs Hereditaires de Lorraine (Table of Contents) for House of Ardenne-Metz, House of Anjou and House of Lorraine.
I have used the convention of de Saulcy of including regencies as a separate ruling authority (John I and CHarles III), while also including the regency dates in the date reign of the duke.
I have also listed the French Occupation of 1634-1661 as done by deSaulcy, but the only coins he attributes to this period are the "doubles Lorraines" which are already listed in Numista under Royal France.
House of Ardenne-Bar
Frederick I (959-978)
Theodoric I (1026/1027)
Frederick II (1026/1027)
Frederick III (1026/1027-1033)
House of Ardenne-Verdun
Gothelo (1033-1044)
Godfrey “the bearded” (1044-1046)
House of Ardenne-Metz
Adalbert (1047-1048)
Gerhard (1048-1070)
Theodoric II (1070-1115)
Simon I (1115-1138)
Matthew I (1138-1176)
Simon II (1176-1205)
Frederick I (1205-1206)
Frederick II (1206-1213)
Theobald I (1213-1220)
Matthew II (1220-1251)
Frederick III (1251-1302)
Theobald II (1302-1312)
Frederick IV (1312-1328)
Raoul (1329-1346)
John I (minority), Marie of Blois Regent (1346-1348)
John I (1346-1390)
Charles II (1390-1431)
Antoine of Vaudemont, Pretender (1431-1441)
House of Anjou
Rene I (1431-1453)
John II (1453-1470)
Nicolas I (1470-1473)
House of Lorraine
Rene II (1473-1508)
Antoine (1508-1544)
Francis I (1544-1545)
Charles III (minority), Regency of Christine of Denmark and Nicolas of Vaudemont (1545-1555)
Charles III (1545 -1608)
Henry (1608-1624)
Charles IV and Nicole (1624-1625)
Francis II (1625)
Charles IV (1626-1634)
Nicolas Francis (1634)
French Occupation (1634-1661)
Charles IV Incursion in Lorraine (1638-1639)
Charles IV, Restoration (1661-1675)
Charles V (1675-1690)
Leopold (1690-1729)
Francis III (1729-1737)
House of Leszczynski
Stanislas Leszczynski (1737-1766)