Dependent and parent with HDHP's. Max contribution?

My (non-dependent daughter was covered under my coverage in a High Deductible Health Plan for the entirety of 2019.  In July of 2019 (.5 year) she was able to secure her own insurance.  As my cost to cover my daughter was fairly negligible, I elected to keep family level coverage.  While I can no longer claim her as a dependent, I should be able to contribute the family max. (plus $1K for the old guy provision) for 2019?

 

That's the first question.

 

Second question is, can my daughter contribute .5 of the single contribution (as she was covered July 1, 2019)?