To get the data to the second server, you still need to read it from somewhere, right?
Yes, that's right and here it's important to know how your two servers can communicate to each other. Here are my limitations. But, with Microsoft SQL server (I think that exists for oracle too), you can create a "linked server" object. If you succeed to create a linked server on the two SQL servers, you will be able to make SQL statements from one server to the other one like this:
insert server1.db_name.dbo.table_name (col1, col2,..., coln) select col1, col2,..., coln from server2.db_name.dbo.table_name
That means you could copy all the needed datas with very simple SQL statements. And the nice thing is that, even if you have million of records in your tables, these statements will be very, fast (some seconds).
I know how to create linked server on SQL Server Management Studio, but that supposes that the two servers are able to communicate to each other (same domain?). And here is the end of daily job. But you have many information about that on the net ;)
PS: just to be sure, a linked server is a SQL object which is created in a SQL Server which is installed on a server (hardware). Because there are too many "server" in this message :p
For pulling the data over, there's also replication which can work (well, in addition to mirroring, but that's primarily most effective for failover support). But if they're reading and then updating the same table, unless they could ensure that nothing else touched that table during the time it would take to process the box scores, I don't think relocating the data to another server would help. (Though as a programmer who is administering some databases but not a DBA, I freely admit I might be missing something relevant.)
I would think this scenario may instead be a case where DB redesign could be more effective, though of course that is not something to be undertaken lightly at all. Naturally, one could also scream "more hardware" and if the server were not using SSDs or enough RAM, that could be a consideration, but cost benefit issues arise there.