A family in our ward put on a Turkey Trot and a Tot Trot on Thanksgiving morning. I brought Addy on the 5k, pushing her in a stroller. We were just walking. It started raining and Addy was grumpy, so I didn't finish the whole thing. Next year I plan on running it without Addy. I'll have to get Jordan to stay home from working and watch her.
They also had a Tot Trot. Addy absolutely loved it. They held the races inside because of the cold rain. After the race Addy wanted to run again and again. She said she wanted to do it again. She only stopped because I was ready to go home. Here's some pictures.
The actual race for the kids 2 and under was a race with the parents. I don't even remember who won.
Addy was usually behind or last during the rest of her races, but she didn't care.