There are some similarities in both the melodic and harmonic structures of the tunes but there is one big difference: "She Goes Through the Fair" is in 4/4 time whereas "The Great Silkie of Sule Skerry" is in 3/4.
On a related note, my brain always confuses "Blackest Crow" and "Parting Glass" and they also differ in time signature. But the melodies are oh so similar.
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Dusty T., Northern California
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As a musician, you have to keep one foot back in the past and one foot forward into the future.
-- Dizzy Gillespie