入境香港次數

Simply help her to get a HKID.

Your daughter is a Hong Kong Permanent Resident because of you.

However, she may not be a Chinese citizen at all.

2011-07-29 00:45:44 補充：
Sorry, what I mean is proof of residency.

You can request the Immigration Department to verify the validity of her residency and endorse on her passport.

For detail, you can refer to:

http://www.gov.hk/tc/residents/immigration/idcard/roa/faqroa.htm#/q3