I was disappointed that the Brother DCP-135C is not within the CUPS database. However, kudos to Brother, they do make drivers available on their website.

I have the USB version of the printer/scanner/fax machine and I had to download the drivers from DCP-135C. Pick the 32-bit or 64-bit rpms as needed.

What I did was to download the LPR, cupswrapper drivers, then went to scanner section and downloaded the brscan2 and scan-key-tool rpms.

With the 4 rpms downloaded, I switched to a terminal and:

yum install brscan2-0.2.5-1.i386.rpm brscan-skey-0.2.1-3.i386.rpm \
  dcp135ccupswrapper-1.0.1-1.i386.rpm dcp135clpr-1.0.1-1.i386.rpm --nogpgcheck

I hope Brother will set up a proper repo so that these can be done automatically!