[Gitfiddlemann]

Hi,
I just downloaded and briefly went through Willow and Snowflight.
From what I can determine, Willow is indeed in G, but Snowflight is not. It's in its relative minor (Em), although it hints at a major key at the start.
(Note: Same key signature for both G and Em, with one sharp (F#).)
Both go in and out of minor/major modulation, and the use of accidentals may be introducing some modal flavor into it, but for the most part, I would say you're dealing with two interesting pieces, one in G the other in Em.

Last comment: Good on you to pick these kinds of pieces to ease yourself into classical guitar. Andrew York is great for this imo.

EDIT: Looking at each piece again, I would say that as each piece starts and progresses, the key id is somewhat ambiguous, perhaps intentionally so, but then they do resolve solidly in G (Willow) and Em (Snowflight) resp. So there is more to these musically than at first glance. The root note, or tonic, only emerges clearly at the end.