An elderly lady whose father was a priest called the Boston Diocese to ask if there is a support group for people like her. There was a long silence. Then the call ended.
The lady enjoyed the experience, nevertheless, because if reflected the long standing attitude of the Church toward offspring of its priests, silence. There has been silence on every moral failure of the Church since it started.
Priests give up economic opportunities to follow this profession. Thus, the Church is responsible for the economic lives of priests. When priests father children, it follows the Church is responsible to provide for them because the priest sacrificed for the church. If the Church would abandon its policy of bachelor priests it would not be responsible.
Using the known children of priests to estimate the world-wide number means there could be thousands. The easiest way to establish how many there are would be for priests around the world to admit how many children they have fathered.
The link discusses some small steps being taken to come to grips with this problem. It takes today in the U.S. roughly $200,000 to raise a child to the age of 18. If we knew the number of children priests have fathered we could estimate the size of the current unpaid obligation of the Church.
It took decades for the Church to take responsibility for child abuse committed by its priests. No doubt it will drag its heels on the issue of priest-fathered children.