No, you will not receive a separate check.   Did you go through the stimulus questions yet and enter the payments you already received?    TurboTax will calculate the amount of your recovery rebate and put it on Line 30 of your Form 1040.   And then that amount is included in your tax refund.    The child tax credit is usually $2000 per child.  Maybe the extra $1100 you are seeing is the recovery rebate for your newborn.....Look at LIne 30 of your tax return; is there an amount?   

Yes I have entered everything about prior stimulus checks and have checked the form with the $1110 recovery credit rebate. It is on the form 1040. However even before I entered all this information about the recovery credit my refund was the same as it is after i entered that information. So from my eyes that 1100 didnt affect anything about my return

It seems like your stimulus payment was already reflected in the child credit amount when you mentioned it raised from $4000 to $5100.