Be sure to read the tutorial on Travis picking before playing this arrangement. You will notice that on the chord diagrams the dots have been replaced by the numbers of the left-hand fingers that you should be using to hold down the chords. There are various fingerings that can be used in holding chords, but the ones recommended below are probably your best choice. For example, the G chord could be held with fingers 1, 2, and 3 (and usually are by beginners) but using fingers 2, 3, and 4 will make switching to and from the C chord much easier as well as free up you index finger to play something else if the need arises.
The D7 chord below is a variation that allows you to play a nice low bass note as well as making available all 6 strings to be played. The note on the 1st string is really a
9th (E) and is not normally played in the chord but sounds good when used for embellishment. This is a very common chord to use when fingerpicking.
The C chord is just a standard C, but my intent on the chord chart with the (3) on the 6th string 3rd fret was to remind you that you may need to alternate your 3rd finger
between the 5th and 6th strings when playing the bass notes (beats 1 and 3 in measures 12 and 13).
The right-hand fingering is added below the tablature staff to guide you in using the correct fingering:
Finger M=Middle Finger
There are several different guitar arrangements of Red River Valley on ezFolk to give you an idea of a few of the various ways you can play it. Here are links to each of them: