Parenting FAIL!

I am a terrible mother. This has been debatable from the beginning of my career in motherhood, but only last week became clear to us all. 
Twice in the past year or so, Taylee has had mild injuries to her left arm. The first time, she was playing with Skyler, and he was vigorously shaking her hand. She immediately had significant pain, and began holding her arm next to her body. This happened at nine at night, while I was at work. Kent gave her Tylenol and put her to bed. She whimpered several times during the night, but was good as new in the morning. Because Kent had dislocated his elbow as a child, and Skyler dislocated his elbow as a child, we figured Taylee was prone to the same type of injury. Last summer Kent was pulling Taylee up off the floor by her arms, and she suffered the same type of injury, crying out, and clutching her arm. Once again she had a rough night, but woke up good as new in the morning. So, last Wednesday, we were disappointed to find ourselves in the same boat. We were swinging by her arms while walking through the mall. (Bad, BAD, I know!) Lo and behold, Kent felt a pop, she started to cry, and we knew it had happened again. This was the first instance that this happened mid-day rather than just before bedtime. We took her home for a nap, and were sad when she woke up still complaining about her arm. We decided to give it a little time and see how she was feeling in the morning. The next morning, she wasn't complaining about her arm hurting anymore. Yay! But she also wasn't moving it at all.  She just let it hang at her side. We felt really unsure about what to do, but figured that if it were dislocated, she would be having a significant amount of pain. Oops. This continued through the entire day Thursday. By Friday, she was a pretty proficient one armed little miss. She didn't complain that it hurt, unless you tried to get her shirt on and off, but she still wouldn't move the darn thing. She would even allow us to bend her arm, and when we palpated her arm, she said it didn't hurt. We still felt unsure about what to do, but I figured if she continued to refuse to use the arm, we better take her in. For some reason, there were no pediatrician's in the office all day, so they made us an appt for 7:15 that evening at KidsCare.
Just getting to this appt was quite the adventure (I'll write about that later), but we eventually made it and only waited 80 minutes to see the dr. Urrrgggh! The dr heard the story, took a look at her arm, and told me she was pretty certain it was dislocated. Seriously?! We thought we were just taking her in to reassure ourselves, and the dr would tell us she strained her elbow and needed a few days to rest it. Bad parents. Bad!! She had me hold Taylee on my lap, and prepared me for Taylee to scream and freak out. She straightened Taylee's arm, tugged straight out, bent it at the elbow, and popped it back into place. Taylee didn't flinch.  We were really surprised, and frankly Kent and I thought the doc was wrong, and it had never really been dislocated. But, to our surprise, within 5 minutes, Taylee was using her arm again, good as new. We were obviously thrilled her elbow was fixed, but certainly not impressed with our parenting skills! Boy, what a learning experience.
I am now proud to know how to put an elbow into socket, a skill I hope NEVER to put into practice!