My eight month old daughter is hypothyroid and has been taking sy...

My eight month old daughter is hypothyroid and has been taking synthroid since she was about 4 weeks old. Within days of taking this, her sleeping pattern changed dramatically. All the doctors are telling me welcome to parenthood. But, each time they inscrease her dosage, she gets worse as far as sleeping goes. Day, night, it doesn't matter, she will not sleep more than about an hour or two at a time. Am I crazy, or shouldn't she be sleeping a little better than that? I am not a first time mom, I know all babies don't sleep well. But, I feel that this cannot be good for her, how does she go like this? I know my husband and I are struggling on only 2 or 3 hours of sleep a night. I am almost to the point of desperation for help.