Then the question is coming. Are all the children in your unit local hukou? If not, can it be accepted locally? Please consult your town first.
The second problem, if it can be handled, is that reimbursement is proportional and there is no problem of over-reimbursement. No matter how you add it, there will be some at your own expense in the end.
I hope I can help you and wish your child a speedy recovery!