Even Oaken, the burly gay proprietor of the eponymous “Wandering Oaken’s Trading Post and Sauna,” has seen an uptick in popularity; the only two years in which at least five babies were given this name were 2013 and 2014.

Providing nearly unimpeachable proof that all publicity is good publicity, the evil Prince Hans has also found that his name is rising in popularity. Last year 132 baby boys were named Hans, up from 98 in 2013. (Parents, what were you thinking?)

Disney’s influence on naming patterns is not unique to “Frozen.” In each of the two years since the 2012 release of the film “Brave,” more than 100 baby girls have been called Merida, up from only a few in previous years.

By contrast, the movie “Cars” caused no observable boon in children called Lightning or Mater, although the entertainment business has proved successful at boosting even quite unusual names. In fact, 1943 — the year after Disney released “Bambi” — was the first year in American history in which at least five baby Bambis were born. (Bambi reached peak popularity in 1979 after the release of the song “Who Killed Bambi?” in a movie about the Sex Pistols, an influential punk rock band.)

In light of this data, it bears noting that Disney has recently released a new take on Cinderella.

While that name might strike you as an unlikely appellation for a modern American woman, Disney’s previous film of this fairy tale, released in 1950, is largely to blame for the fact that there are around 100 women in their mid-60s — who I like to imagine are trying hard to keep track of their shoes — named Cinderella.