how old is your daughter? Did you already ask whether you can sponsor her residency?
Several places that might help you or give you some information.
Legal aid foundation
Kaohsiung Branch https://www.laf.org.tw/en/index.php?action=location&Sn=7
You could make a reservation to get 15 min of legal counseling for free.
National Immigration Center
Morakat Special Hotline (02)2375-7372 , Documents replacement, and resource and information referral, 24 Hours, International Affairs Division
They might tell you what you should do.
Kaohsiung City New Immigrant Families Service Center
TansAsia Sisters Association, Taiwan (TASAT)
Their web page is down at this moment, but you may try to call to them.