We are staying at the Marriott that is on airport property. Their shuttle starts running at 4:20 a.m., our flight leaves at 5:30 a.m. Is that cutting it too close? The hotel said we will be fine but I don't know how long it will take to check in, get through security and get to the gate by the time boarding starts. We're flying Southwest so don't have assigned seats. 2 adults traveling with a 6 and 1 year old (and a gate-checked stroller and car seat).