When you look at the web page in the link, initially it looks pretty good. Unlike the majority of web pages this one has two quality source citations. But, it is important to check the sources which are cited to see if they actually say what they’re represented to say.
This is an English translation of Christian Settipani’s Addenda to Les Ancêtres de Charlemagne (1990):http://www.rootsweb.ancestry.com/~medieval/addcharlENG.pdf
Scroll to page 8 and read it to see what it actually says.
Then, Gregory of Tours, The History of the Franks is also online:http://www.fordham.edu/halsall/basis/gregory-hist.html
Click on “Book II” and scroll down to Chapter 9. Read it for yourself.
Taking Christian Settipani’s paper, if you’ll notice on p. 8, referred to in the citation (Christian Settipani, AdC-Addendas, pg. 8) the subject under discussion is Clodio, as being potentially the son of Theodemer or as a son of Faramond. Read the footnotes also.
This Clodio is an earlier Frankish king, and was a king of the Salic Franks, not of the Riparian Franks. So, aside from a similarity of his name, this is not about Clovis ‘the Riparian’ King of Cologne.
Likewise, the other cited source, Gregory of Tours, The History of the Franks, does not even mention Clovis ‘the Riparian,’ The first mentioned king of the Riparian Franks by Gregory is Sigibert ‘the Lame,’ who we know from other sources was a grandson of Clovis ‘the Riparian.’ The more famous Clovis I, King of the Franks, instigated Cloderic to kill his father, Sigibert, so as to inherit his kingdom of Cologne. Clovis then had Cloderic killed and became king of the combined Franks, Salic and Riparian (see Book II, Chapter 40 in the link to Gregory below).
The bottom line is that neither of these sources say what they are alleged to say here. Neither one is about Clovis ‘the Riparian’ and neither supports this genealogy shown here. So, unfortunately this site helps no one.