Ellen is absolutely correct; all of that extraneous stuff after the ? is (in this case) nothing more than a reference to how the page was found -- in this case, by searching for Elizabeth Stynes within a particular set of records. That's not important to save.
But every web site is different. Sometimes those parameters include information vital to instructing the site which records to retrieve. (Those links tend to be the most volatile, though, as internal implementation details like that may change over time.)