All the Prophets are Infallibles with no exception at all.
The status of the fourteen Infallables ( Muhammad , Ali, Fatimah, Hasan, Husain and nine Imams from Imam Husain) is The highest above all noble human beings. No doubt there are very pious personalities like Lady Maryam Bint Imran and Lady Asiya Bint Muzahim who have got a degree of infallibility which is called by some scholars as minor infallibility. Minor infallibility means a high state of piousness in which the person keeps himself away from sins because of continuous remembering Allah (SWT). This type of infallibility is less than the infallibility of the 14 Ma'soomeen (AS).
Lady Zaynab (AS) and Hazrat Abbas (AS) were best of the best pious people but their status is after the status of the 14 Ma'soomeen. Many scholars call their infallibility as acquired infallibility which is a result of highest degrees of Taqwa and piousness.