You didn't post lam ranges. Can you post those?
But TSH looks like it went way down, from 38.7 to 2.36. I think 2.36 is in the normal range, which is good news.
The initial TSH would be consistent with needing meds - the second level looks good -- not sure if baby could wean off or not; I do not see children, so would defer to pediatrician. Also you should be tested yourself for TSH and T4.