After Lothair's death his lands were further divided between the two uncles, and the Kingdom of the East Franks and of the Kingdom of the West Franks, in the Treaty of Mersen, 870.
Strictly speaking, there were no Lotharingians as a unified ethnic group. Broadly speaking, Lotharingia comprised the present-day:
The name Lotharingia (Dutch: Lotharingen, German: Lotharingien, French: Lotharingie) survives today in the French name derived from it: Lorraine.
Lotharingia itself did not survive its king; it dissolved in violence and local warfare. Henry the Fowler gained control over the divided lands, and brought them back as a duchy under the German crown. His son and heir Otto I, Holy Roman Emperor granted Lotharingia to his brother, Bruno I, Archbishop of Cologne. In 959 Bruno effected the long-lasting split of the territory into two dukedoms: the duchies of Upper and Lower Lorraine. (Upper and Lower in historigraphical names generally refer to a River's watershed, in this case, along the Rhine.)
Upper Lotharingia became the duchy of Lorraine, the nucleus of which survived until 1766. Lorraine was the object of territorial disputes between France and Germany for a thousand years, and both still covet the region.
The Duchy of Lower Lorraine lost its authority entirely in 1190 (the Diet of Hall), due to the territorialisation of the 11th and 12th century. The duchy fragmented into separate duchies (Brabant, Limburg, Gelre), bishoprics, counties and imperial fiefs. The Duke of Brabant traditionally retained the honorific title of Duke of Lower Lotharingia, also known as Lothier.