Aramaic is a language that has evolved. Aramaic consists of several dialects:
1 Ancient Aramaic: 900-700 BC
2 Imperial Aramaic: 700-332 BC
3.Middle Aramaic: 332 BC to the 2nd century AD. This is what is believed to have been spoken at the time of Messiah and is also used in some dead sea scrolls and some Targums.
4. Late Aramaic from the 2nd to 9th centuries AD. This is the language of Talmud and some rabbinic literature.
5. Modern Aramaic: Spoken today in some villages in Turkey, Syria, Iran and Iraq.
[I am sure that the above timeline and divisions can be disputed among various scholars]
There are two talmuds. One is written in Western Aramaic which is similar to Biblical Aramaic [Palestinian]. The babylonian talmud is written in Eastern Aramaic.
I had heard that in some of the Dead Sea Scrolls the name of God was written in Paleo-Hebrew while the main body of the text was written in block Aramaic script. It has also been said that some of the earliest Greek OT texts had the Name in Paleo-Hebrew as well.
How do the scholars distinguish Aramaic from Hebrew when written in Greek? Here is an example of two Aramaic words written in the Greek NT.
Golgotha John 19:17
Gabbatha John 19:13
Aramaic uses a final ALEF to represent the article [the Hebrew uses an initial HEH.] The A [greek alpha] at the end of both Golgotha and Gabbatha demonstrate the Aramaic article, which shows that the words are from Aramaic origin and not Hebrew.
I am not trying to represent myself as any kind of expert on this topic, and I have only given this example as a starting point for others to research and verify this for yourselves.
P.S. I am also trying to draw Steve [Thadman] into this discussion