What I've read on An Online Gotha
"The headship of the Royal House of France is an interesting question. Leaving aside the dilemma caused by the Bonaparte claimant, who is clearly an heir to hereditary monarchs of two separate French Empires, the question of who is heir to the claim of the House of Capet, which ruled France for half the Christian era, is the subject of great dispute.
Probably the majority of French monarchists support the claims of the Orléanist line, headed by Henri, Comte de Paris, who has assumed the title "Duc de France". He is clearly the heir of Louis Philippe, King of the French, who ruled from 1830 to 1848. He is also the heir to the legitimist line of the House of Capet if the renunciation of King Felipe V of Spain to the French throne was valid. Eminent and learned scholars have argued that no such resignation was valid and that thus King Felipe's heir male inherited the Legitimist claim on the death of Henri V, so long, at least, as the claim is not united to another throne. The heir male of King Felipe is Don Luis Alfonso de Borbón.
Since reasonable persons can make valid arguments in favor of either claimant, both will be presented here in this article. Furthermore, if Luis Alfonso is entitled to be considered a French dynast, then so are all the legitimate male-line descendants of King Felipe, and, indeed, of Hugues Capet (e.g., the Seville, Roccaguglielma, Galliera, and Infant Gabriel lines). For other apparent dynasts of the House of France, then, see the articles on Spain, Two Sicilies, Parma, Brazil and Luxemburg.
Historically, no such title existed as "Prince of France". The members of the Orléanist branch who are not products of morganatic marriages have been accorded the title of Prince[ss] d'Orléans, Royal Highness, unless other titles are shown and the children of the head and the heir apparent of that line have now been accorded the title Prince[ss] of France, Royal Highness."
http://pages.prodigy.net/ptheroff/gotha/france.html