I do not have a good working knowledge of musical language, but I will attempt to make this clear.Let's use the "A" chord (EAEADbE) for the example.
For each 1-2-3 count, you will actually be hitting 6 notes. The thumb will alternate between the lower A and E and will also be strike the middle E.
Now, on the one count, the thumb strikes the lower A followed by the middle E. On the two count, the first finger strikes middle A followed by the second finger striking Db. On the third count , the first finger strikes middle A followed by the thumb striking middle E.
The pattern for the next three count is the same except for the thumb striking the lower E as the first note rather than the lower A.
Depending on your level, this may seem awkward and take a bit of time to learn to do smoothly, but it is worth the effort.
This creates a "flowing" sound, and does not leave "empty" spaces.
Personally, I hate to fingerpick waltzes, but sometimes, it is required.
khandu