We gate-checked the stroller on our flight out of DFW on AA and then were told that they didn't have room for it (or other strollers) on our flight. When we got to our destination, AA had no clue as to what would happen. After several days, they called to say that they found it. But what showed up was the bottom half - they had only tagged the lower part. They they demanded a trip to the airport to fill out a claim with the original receipt. They will let us know in about ten weeks what they will do. Lesson:
1. American Airlines is bankrupt for good reasons - one of them is their poor service.
2. Always have tags on every part of a stroller.
3. Try to insist that the gate-checked item go on the flight because the infant needs to be in it at the other end.
4. Choose an airline that is not currently bankrupt.
And maybe 5. Pack your things correctly and you will avoid all of these problems, regardless of which airline you fly.