in the lyrics it reads "Hoshi ni Yuuki ni Kioku ni" which is put in kanji as "星に勇気に記憶に" and then translated as "In stars, with courage and memories"
it just doesn't make sense since the particle "ni" in japanese is used to refer to a place where something is or omething takes place
it's a common mistake when transliterating lyrics to confound yuuki (courage) and yuki (snow)
since the following line reads "kimi no ashiato sagasu" (I search for your footprints) it makes more sense for the music to read
"Hoshi ni Yuki ni Kioku ni" "In the stars, in the snow, in my memories" (I used "my memories" as a personal preference to the translation since the pronome is usually omited, but id could be simply "memories")
in that case the kanji would be "星に雪に記憶に"
although in the music it seems like the 'yu-' in "yuki" is long, it is not as long as it would need to be for it to be read as 'yuu-'
please look into it

the english translation is correct but incorrectly ordered within each paragraph... but i guess its more understandable this way