Elise is on an upward trend, due in large part to its dash of French flair, and to the love for El-names in general. It is now at its highest ranking ever--151--in the US, and is riding a wave in several European countries as well: it's a Top 10 name in Belgium, for example, and well used in Norway and the Netherlands.
Elise was introduced into the English-speaking world in the late nineteenth century. Emily Blunt played a character named Elise in The Adjustment Bureau.
Fur Elise is one of Beethoven's most popular piano pieces. Piers Morgan named his daughter Elise.