I think we have maintained the traditional team, at least for now. There are a couple of other teams within the applications branch of the Information Systems department where I work though these were put in just before we got into Scrum.
There is a big project most of us are on that is using Scrum and the team seems to be evolving along nicely. We have some new tools and processes that seem to have helped us a lot and given us a sense of "awesomeness" that hopefully we will pass on to the other teams.
For changes to a database, any of us developers can make the change in the development environment and then pass along the script to a DBA to be done when it is ready for production. For changes to the network, there are infrastructure folks that handle that and initially setting up a server in terms of O/S, network, memory, hard drives, etc.