Scott is right, it's a "pullman". Not for pediatrics.
To use it, you put the patient's tush and legs on the cot, with the patient sitting upright. The EMT at the "rear" end held the cot near where the patient's tush was, and the other EMT carried the foot end. The patient's head and shoulders rested...against the chest of the head-end EMT. Not too comfortable for patient or EMT, particularly since the head-end EMT was carrying about 98% of the weight of the patient.
When I worked in private ambulance in Washington, DC in the 80's, there were two competing ambulance service. The "other company", all their rigs had pullmans. The company I worked for, we had no pullmans (though one rig of our 14 did have one, stolen from the other guys). Though the competition was fierce, on a very few occasions, we'd have to have a crew from the other company come and bring their pullman if there was no other practical way to get a patient into/out of a very tight DC rowhouse.
My question, though, is this. Does anyone know why it was called a "pullman"? Does it have to do with Pullman railroad sleeper cars?