serious answer-- the first one you mentioned is Come Go With Me, originally by teh DelVikings (about the first interractial group in rock in 1956 or so, I always wondered why you never saw publicitiy photos)
the second is probably Come Softly To Me, not sure who did it.
but the chord progression for the first one is used in whole bunches of rock songs-- I always called it the Heart and Soul progression (G/Em/Am/D7 repeat till end of 45 record) but is also All I have to do is Dream, Born too Late, many others