My code is actually producing the next error:

org.apache.axis2.AxisFault: Timeout waiting for connection
    at org.apache.axis2.AxisFault.makeFault(AxisFault.java:430)
    at org.apache.axis2.transport.http.HTTPSender.sendViaPost(HTTPSender.java:203)
    at org.apache.axis2.transport.http.HTTPSender.send(HTTPSender.java:76)
    at org.apache.axis2.transport.http.CommonsHTTPTransportSender.writeMessageWithCommons(CommonsHTTPTransportSender.java:400)
    at org.apache.axis2.transport.http.CommonsHTTPTransportSender.invoke(CommonsHTTPTransportSender.java:225)
    at org.apache.axis2.engine.AxisEngine.send(AxisEngine.java:435)
    at org.apache.axis2.description.OutInAxisOperationClient.send(OutInAxisOperation.java:402)
    at org.apache.axis2.description.OutInAxisOperationClient.executeImpl(OutInAxisOperation.java:229)
    at org.apache.axis2.client.OperationClient.execute(OperationClient.java:165)

After extensive searching the answer seems to become here:

http://amilachinthaka.blogspot.com/2009/05/improving-axis2-client-http-transport.html

Except I am unable to access http client directly (that's completed in auto produced code).

Rather I've attempted:

http://wiki.apache.org/ws/FrontPage/Axis/AxisCommonsHTTP

Which appears to assist slightly. Nevertheless it only delays the issue I usually obtain the timeout. Even the instructions seem to be to have an old version of Axis since Axis2 doesn't have AxisProperties. I'm using version 1.5.1. Any suggestions?

I believe it was a bug, see here and it has been fixed with Axis2 1.5.2 (a minimum of for produced code). With custom code, you have to tackle this issue by hand.