Thanks, sionnach - that's how it was spelled to me by a fellow student at the University of Heidelberg by an Irish girl who noticed I was writing class notes with my left hand. I found examples of that spelling on-line - I appreciate the corrected/suggested spellings, if only for my benefit!
Have to register my disagreement with your spelling here, hh: this particular variant is not (and could not be) a legitimate Gaelic spelling. It violates the rule that vowels on either side of a consonant are required to be of the same type, that is they must either both be slender ('e' or 'i') or both must be broad ('o', 'a', or 'u'). I've seen both 'ciotog' and 'ciothog' in practice, but never 'cithog'.