From this I learned that it appears the NYPD reserves a special section of the Holy Rood Cemetery in Westbury, L.I for its burials of dead babies abandoned in places like the trash can at Dutch Kills Playground a few months ago. That is… kind of interesting. I might have assumed they used Potter’s Field. There is a section at St. Michaels’ that appears to be all or mostly infants but I can’t say I noticed such an area at Calvary.
Source: Hundreds gather for funeral of newborn found in trash can