How about googly eyes?
Re:How HTTPS works
by thaumasiotes on Tuesday September 11, 2018 @01:03AM
(#17957296)
The two theories I see for the etymology of "googly eyes" are (1) that the term descends from goggle + -y ( https://www.etymonline.com/word/googly ); or (2) that the term is related to a comic strip character named Barney Google ( https://blog.retroplanet.com/googly-eyes/ ). Neither theory involves a -ly suffix.
They don't really involve the diminutive -y suffix either; that looks more like the adjective-forming -y suffix.
Can you provide some examples of "toddler speak" involving the -ly suffix? I don't mean company or technology names -- words like "doggy", but using a -ly suffix.