You should have got a message like "data_provider element without name attribute ...".
In fact, an attribute like name="MYNAME" can be added to the <data_provider> element.
In that case, a line like myTable.setDataAdapter("MYNAME") has to be added to the Table configuration on the client side.

Anyway, the configured name has no role on the Data Adapter initialization.
The Server looks for a class whose name is provided by the contents of the <adapter_class> element.
Hence, if the class was not found, the problem could be related with the class name you supplied there or to errors in the supplied jar.