I had similar problems with hair and energy loss after childbirth. I also got real dry scaly skin, especially on my face, as well. I was diagnosed by my primary doctor and an Endocrinologist with Hypothyroid. The meds they put me on didn't help much after taking for a year. The only thing it helped with a little bit was the dry skin.
Last year, about 4 yrs after childbirth, I finally saw a Natural Path which was 100 X's more beneficial than what any MD did for me. So, I strongly recommend it. If you consider that route, call around to local practitioners. The rates can really vary. A lower rate doesn't they are not as good. The women I saw was very good and wanted to charge a rate that most people could handle, so she reach more clients.
Then I found a Biofeedback Specialist. This route has gotten me down the wellness road even faster for about a forth or less of the cost. We plan, during my next session, to check all my hormones. For I feel something is still out of balance for I'm always tired and still have minimal energy reserve. You can find info about Teresa and Biofeedback at http://www.aquantumoasis.com/?page_id=17.
Good luck. Don't give up. And know that there are options available to help that DON'T require being on a prescription for life, which is likely what an doctor will advice. If you have insurance, you can see a doctor for diagnostic purposes, and listen to their recommendations, without actually taking meds.