The Writer's Market updates every year, and a great deal of its information can be found online. That said, if you want a more recent edition than Beeghly Library has, you can always check OhioLINK and Search Ohio to try to order a copy.
There are also different editions of Writer's Market based on what you need. For instance, there is the Novel and Short Story Writer's Market or the Poet's Market, each of which contains more targeted information on their fields.
Finally, Literary Market Place is another supplementary resource that can help you look. We have the 2012 copy in our reference stacks, but just like with Writer's Market, you can order updated editions for free through OhioLINK and Search Ohio.