Their philosophies are similar. Both movements were born as a reaction to strict traditions, laws and religious rules. They both opposed Calvinism. They both thought that an individual, as well as nature are important. No rules should be obeyed - both movements thought that.
I dont know why she wants jig to stop talking but I imagine she says it over and over again to show that she is aggrivated and to make her point to show that she wants him to stop talking.
