ABitRusty said
Take this with a grain of salt.. but reading your question a couple of things came to mind.

it sounds like the objective of song of the wind is to introduce the 4th finger so youre practicing the E on A string instead of open string.  id say the song comes after go tell aunt rhody because 4th finger more difficult usually than just playing the open string note.  your lucky if isnt!! 

as for go tell aunt rhody and for string changes in general...practice STOPPING your bow before changing strings.  When you do this its not so much a practice of keeping in time with music but an active practice of stopping bow movement before changing string.  So when you stop the bow also be practicing placing your third finger on the A string AT the same time.  then play the note.   Making it an intententional practice thing helps coordinate the movement.  I was shown this and has helped me.

  

Suzuki introduces the 4th finger early on.  The tutorial I'm following really emphasizes it too.

Lightly Row is earlier in the lesson plan and it's all about the 4th finger on A.  Repetitions upon repetitions of A4.

Aunt Rhody was next after Lightly Row and it adds more string changes to the mix.  The issue I have with it is the staff goes from E1 to E0 in quarter notes then to A3 an eighth note later.  That's very fast for a beginner and requires a lot of precision in technique.

Meanwhile, Song of the Wind is a lot slower in the fingering, using quarter notes during the string changes.  Plus it goes from E0 to A4 rather than A3 while retaking the bow to the heel at the same time.  Which goes along with the 4th finger emphasis and gives a ton of time to get everything set before bowing again after the eighth rest.

It's possible that it's an individual preference as to which song should precede the other.  I just feel that Song of the Wind should have been first because it's more in line with my abilities and that Aunt Rhody would build on what I learned in Song of the Wind, rather than vice versa.