Unusual in that both quote marks are 99s rather than the standard 66 and 99. Was used in a series of tie in chapter books based on The Powerpuff Girls TV series.
Identified font
Filosofia Suggested by jerseygirl 
quote marks most likely edited, or from some other typeface
That was fast! Thank you. And the double 99 quote marks are present and accounted for, too.
Edit: Well, they are in some versions of it.
Edited on Jan 29, 2025 at 02:06 by n-d-p
n-d-p said 
the double 99 quote marks are present and accounted for, too.
Edit: Well, they are in some versions of it.
They're not shown in the glyphs page at myfonts, however they are present in older versions of the font.
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