https://creation.com/pterosaur-flood-artistry
Even if Burne Jones was attempting to depict a pterosaur in 1863, at that time (even though it was by then certain that Earth was not just 6,000 years old) it was not known exactly when these creatures went extinct (probably 66 million years ago) and it perhaps may not even have been clear then that they were extinct.
YECs (and indeed the Bible) cannot explain why and how pterosaurs became extinct (the flood was NOT an extinction event since there was an ark). The Bible does not try because extinction was an unknown concept when Genesis was written (and it does not chime well with Genesis 8:17 especially when humans aren't to blame). YECs try desperately to explain their alleged 'post-flood' extinctions but the reality is that they remain confused and embarrassed.