Well, cyrillic and the earlier glagolitic was created by some byzantine Greeks and based on the Greek alphabet, so that's not that weird...
In that vein it would be interesting to note that while Ancient Greek (from the times of 8-4th century BC as taught in humanities programs) are not spoken today, their simplified version from the times of Alexander the Great and his heirs, "koine" are more or less the same, and perfectly understandable by any modern Greek or Cypriot.
That's the language the Old Testament was translated into (Septuagint), which is 2300 years old -- and still understood (or at least 99% of it, spare some words that have fallen in disuse).
On the other hand, the further back texts go -Plutarch, Xenophon, Herodotus- it gets harder and harder to understand. Homer in particular is nigh-on incomprehensible to me. It's how I imagine Greek sounds to people who don't know any :)
Exactly how Cyril got credit for the script he didn't invent is unclear.