I think Im picturing what you're describing...if you find a link or pic, please let me know!
Here ya go! Dorman/AutoGrade 25 pcs. blue terminal T-tap connector (638-236) | Electrical Wire Connector | AutoZone.com
The link was just for an example. I didn't know what these were called, but they're available a ton of places. Gotta grab a pack of these.