Who named first the intra-mercurial planet “Vulcan”?

I am trying to find out who first proposed the name Vulcan to the intra-mercurial planet in the 19^th century. Many online articles, professional or popular, attribute the baptizing to Le Verrier in either 1859 or 1860; but many of the same articles include a graph of the solar system indicated as "[New York] : Lith. of E. Jones & G.W. Newman, [1846]" that marks Vulcan at a distance of 16 million miles from the sun, regularly without noting the blatant discrepancy of the dates. A reader of the German Wikipedia entry on Vulkan, that likewise includes both the graph and the attribution to Le Verrier, has pointed out the conflicting dates to the editors, but no one has changed the entry so far.

I have checked the original sources. Le Verrier uses the name Vulcan (Vulcain in French) neither in his 1845 "Théorie du mouvement de Mercure" nor in his 1859 treatise of the same title; neither is it mentioned in his 1860 contribution to "Comptes rendus hebdomadaires des séances de l’Académie des sciences, tome 050" p. 40-46, in which he quotes Lescarbault's letter of 22 December 1859 describing his alleged observation of the intra-mercurial planet, and comments on his conviction that Lescarbault's data were plausible. It seems to me that the attribution of the baptizing to Le Verrier is an unfounded myth passed on and on through the "quoting circus" for generations.

A few online articles flatly claim the actual origin of the name Vulcan was not known. An unnamed Smithsonian member is once quoted claiming that "a Vulcan world" was an established epithet of the inmost planets in the early 19^th century already, while the English Wikipedia entry Vulcan attributes the proposal to Jacques Babinet but gives only a secondary source in support. All sources fail to explain where Jones & Newman got the name and the distance value from as early as 1846.

I am thus stuck in my research on who came up with that name latest in 1846 and who first applied it to Lescarbault's observation after 1859. Is there anyone who may give me a hint where to continue?