Hi Legal Eagle,Trying to sort out what you said. The D with a G in is an acquired taste. The musical name for it is D major suspended fourth. It's sometimes written as D (Add G). The name "suspended" is descriptive. It kinda' hangs there unresolved.
The next chord you describe is a straight-ahead D major chord with doubled strings. I assume you mean 6th string fifth fret for the A, 5th string open for the next A, 4th string open for the D, 3rd string 7th fret for D an octave higher, 2nd string 7th fret for the F# and 5th string 5th fret for the higher A. Lotta' ringin' goin' on. It'd be nice to lower the 6th string to D and play it open with the rest of the chord.
Frank