Hi there, my 13 month old has a cold as well, so not fun for them! Try a cool mist humidifier in her room; this will help with the congestion. You can get them at drug stores or practically any store that sells baby stuff.
Also, double check with her doc b/c she's so young but it should be okay to give her tylenol for the fever and any aches, etc. she's having. Again, talk to your pediatrician about the dose, you must be very careful about dosages of meds esp when they are so little. Motrin is also a possibility if your doc is ok with that. Also, bulb suction her nasal passages out with saline. Babies HATE this but it really does help them breathe better.
Hope that helps - hang in there, this will probably be her first of many, many colds unfortunately, esp. with a pre-schooler but it will only make her immune system stronger in the end! :)