Can a compassionate appointee avail Children Education Allowance for 3rd child?

Can an employee employed on compassionate ground is eligible for Children Tuition Fee allowance, while an employee who died had already availed Tuition Fee allowance. Like there is one case: An employee has three children and he had availed Tuition Fee Allowance for elder two children and then he died and later on his wife got job on compassionate grounds now can she avail Tuition fee allowance for third child.

Taking the above, CEA will be admissible to the first two eldest surviving children only.