This is from her father's baptism and appears to be Staets (compare to the double a in Isaac). Elsie "Elizabeth" was born in Albany which does not have baptism records prior to 1683.
Spelling is difficult in New Netherland which is why it usually takes the project to decide the LNAB, and typically through church records. Church records are more reliable as the domines were more likely to be Dutch and interpreted by those that speak and study ancient Dutch, whereas general documents could have been generated in any sort of manner.
Profiles are generally imported with the modern last names whereas the project uses patronymics when the baptism records show that is what was used for the baptism. That's usually the case but these people were from the Belgium area and already had a surname.