In Jainism, “female monk” is usually called a Sādhvī (साध्वी), but there are several traditional titles. Here are the main ones:

Common / General titles

• Sādhvī – general word for Jain nun (female monk)
• Śramaṇī / Shramani – female ascetic
• Āryikā / Aryika – respected female ascetic (literally “venerable lady”)
• Mātājī / Mataji – respectful way lay-people address nuns

Śvetāmbara tradition

• Sādhvī – main and most common title
• Gaṇinī Āryikā – head of a group of sadhvīs (senior nun)
• Brahmacāriṇī – woman in a lower/initial renunciate stage

Digambara tradition

• Āryikā – main title for Digambar nuns
• Āryikā Pramukhā / Pramukh Āryikā – chief or senior āryikā
• Kṣullikā – junior nun (lower stage)
• Brahmacāriṇī – initial renunciate stage

So, if you simply want “Jain female monk names”, you can use:

• Sādhvī (mostly Śvetāmbara)
• Āryikā (mostly Digambara)

For a little more detail on monastic ranks, you can read here