No, actually the notes of C Lydian would consist of C D E F# G A B C (same notes as G major scale).

And C Locrian would have the notes C Db Eb F Gb Ab Bb C (so all notes are flatted except the tonic and the 4th, and the tonic chord, the C chord consisting of these notes would be a C diminished chord). It's a strange one, neither major nor minor. Not used much in Western music, but it is an important part of Japanese and Hindu music.

The overall mood of these modes can often be heard better by playing the main chords of the scale, C, F and G, but altering the notes of these chords to fit within the scales of that modes.

It's pretty easy to get confused with this stuff, since modes and scales are NOT the same thing. The modes determine only where the intervals occur, note the notes themselves. Luckily, I have a book to keep it straight. And, like stated above, there's only actually a couple of them most of us need to understand anyway, The Ionic, the Aeolian, and the Myxolydian, for the most part. In other words, the natural major scale, the natural minor scale and the major with a flatted 7th.