Is it common for babies to get rash (little red spots) around their mouth because of feeding?

Not too sure which type of rash are you referring to. Here is a link with skin conditions (with photos and not limited to rashes found at mouth area) common in children: http://www.babycentre.co.uk/l1038755/childhood-rashes-skin-conditions-and-infections-photos And here's another link stating the different types of rashes and suggestions on how to treat them: http://www.parents.com/baby/health/rashes/rashes/ In general, rashes can be treated locally with antiseptic or antibacterial treatment. Contact your doctor if the rash is accompanied with fever, headache or sore throat.