How to save search results to a new save-search with out losing the previously saved one?

I press Cmd-Opt-Space-bar to open a Finder-Search window. I add lines of all my criteria, click Save, and get a new saved search in the sidebar of the Finder. Fine. But when I change the criteria, and want to save it as a separate saved search in the sidebar (I click Save), it just saves it to the previous one. I once did it with the option to rename it, but that doesn't come up anymore. In fact, I already have some saved searches in the Finder sidebar with different names, but those were made a while ago. All I can do now is save to the current saved-search. How do I create one with a new name!

How do I do this? TIA!