Recently David Ing suggested that we have too many ways to search or at least too many ways labeled "search". Let's attack this problem by growing our labels from a single verb, search, to short phrases. riot 
In particular I am thinking,
"search neighborhood" for the web page footer search,
"Federation Search" for the Search plugin soon to be available on the hamburger menu, and
"search for this" for the search in the wiki page footer that will find various kinds of references to the particular page.
Admittedly we are using terminology unique to us like neighborhood and federation but these are the things we search. See Names of Things