I love
Jesse. I like
June too, but not as much. I think another name for a girl would sound better. Personally, I like it when twins names begin with different letters.
Jesse and Chrisanne would be pretty. When twins names begin with the same letter, it just seems to me that the quality of one name is being sacrificed to enhance the other. When twins names begin with different letters, I think they each stand out more as special choices.