My daughter Ivey is a Touchy baby and gets very upset when she gets tired too. She is 7 weeks old and has been much happier this week then last. I know that sounds crazy, but last week she cried all the time and this week it is mainly when she is tired, wet, or hungery. I know every where you look tell you to put your baby on their back or side to sleep, but until I started putting her on her stomach to sleep, she hardly slept. Now she sleeps more soundly and seems more rested. I just make sure there is a tight sheet under her, and that nothing is where it can cover her face. She also will scream like crazy when she is tired, so I shh/pat and sometimes even walk into the bathroom and run water(the sound is calming) till she calms a little, then put her in her bed, kiss her and tell her I love her, then leave her. She will fall asleep usually within 5 min. if not I go pat her and tell her I love her again, then leave, wait another 5 min. if not then walk in dont touch her and just say reassuring things, and leave again. Unless she is dirty or something. that usually works if not I pick her up to calm her and try again. Honestly though, the first few times took the longest, and now she is asleep in about 5 min.