Vanilla 1.1.9 is a product of Lussumo. More Information: Documentation, Community Support.
Short answer: no.
Long answer: for certain badges you can tell through other tools ("nice answer", for example, via your reputation tab). But there's no built in way to show it like in SE2: that is a feature that they introduced in that version of the software.
In you really want to know, you may be able to track it down by looking at the tags with 50+ questions here, see which tags have recent questions (not newest, since you could've gained the badge from a retag), and see which of those were created by you.
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