I found this neat fairy name generator.
Your fairy is called Gossamer Vineglitter
She is a binding force on couples.
She lives in spiderwebbed wonderlands and insect grottos.
She is only seen in the light of a shooting star.
She wears tiny black spiders on her dresses. She has gentle green butterfly wings.
You should try it! Can't wait to see what Conner and Dragona's fairy names are. 
Keywords: fairy, generator, name
Comments
By request...
She is a bringer of riches and wealth.
She lives in places hexed and tainted by black magic.
She is only seen in the light of a shooting star.
She wears black feathers and rose petals. She has gentle green wings like a butterfly.
Your fairy is called Oak Reedshimmer
She is a panpipe player and enchantment singer.
She lives in forests of oak and lime trees.
She is only seen when the first flowers begin to blossom.
She decorates herself with leaves and berries. She has gentle green butterfly wings