The Last Stardog by E. K. Mosley Hardback

Have you ever dreamed the same dream twice or thrice or more? Because if you have you are like Stardog who has dreamed the same dream every night, at least twice or thrice or more . . . It's a very important dream to Stardog, because in this dream Stardog is not alone . . . 

Outside of dreams Stardog is the last of her kind and one night, heavy with loneliness Stardog falls out of the sky. Past the planets, down, down, down to Earth where the familiar falls away and the unknown grows all around. All alone and too heavy to fly home, Stardog sets out on a journey to fulfil her dream - to find others like her.