What could these bug bites be? Bed Bugs?

Me and my 2 kids stayed in a hotel this past Weds 7/14. I noticed on my 2yr old daughter today these huge bites. She's got a couple of red bumpy ones and a huge welt around her calf, looks like 3 bites. They're all on her legs and nowhere else. My son and I both don't have any bites and we all slept on the same bed. after doing a little research, they resemble bed bug bites. I checked her mattress and all over and didn't see anything. I took all her bedding off and washed it in hot water. I put brand new sheets on her bed. Could she have been bitten in the hotel and the bites show up now? I will be checking her everyday to see if any new bites show up. Could you get bitten and not have brought them in to your home? Neither me or my son have any bites. My daughter and I sleep in the same room at home.