What is the meaning of my names "Anyah" and "Sireen"? And is the name "Anyah" written with an 'ayn (ع) or an 'alif (أ), and is it Islamically permissible?

The word "Anyah" has no known origin in the Arabic language, and it may be a proper noun from other languages. If its meaning is good and religiously permissible in its context, then there is no harm in naming with it. Otherwise, it is better to abandon it for a better name, in accordance with the Hadith: "Leave what makes you doubt for what does not make you doubt." As for the name "Sireen," it is of foreign origin, and its meaning is "rose," or "full," or "mountain peak." Mariya the Copt's sister, whom the Prophet, peace and blessings be upon him, gifted to Hassan ibn Thabit, was named Sireen. If it were disliked, the Prophet, peace and blessings be upon him, would have changed it.