My first association is the lioness from the book (and film) [name_m]Born[/name_m] [name_f]Free[/name_f] by [name_f]Joy[/name_f] Adamson. I also work with the elderly and have met a number of women with the name too, so while I have seen Frozen a number of times it is far from my strongest association.
I do think most all little kids will immediately think of Frozen, however, as it is still über popular and has with another film coming out soon. While it may not be an issue, that could very much depend on the personality of the child with the name in question. For example, one older lady at my job daily bugs her roommate (who is an [name_f]Elsa[/name_f]) by singing the snowman song when she’s using the bathroom. This [name_f]Elsa[/name_f] takes the teasing well, but another may not