eConnectProcsRunFirst is not part of eConnectProcessInfo for eConnect 2010
eConnectProcsRunFirst is not present in the schema for GP2010 eConnect. Just to confuse people, the documentation in the eConnect SDK still references it in quite a few places still.
Converting eConnectProcsRunFirst to use eConnect 2010
What to do when converting previous versions? It seems to be very simple, the order of the nodes in the XML document submitted to eConnect defines the run order. So if a custom stored procedure is required to run first, ensure it is placed first in the XML document relative to the item it must run ahead of. Yes it is that simple!