My instinct says no. But the rules are confusing.
She is not your qualifying child (includes your own children even if
adopted, brother/sister, descendants of these). See page 18 of the
She could be a qualifying relative (includes any person who lived with
you and who made less than $3,650) so check all the rules on page 19
of the 1040 instructions to be sure.
But in head of household they say
Test 2. You paid over half the cost of keeping up a home in which
you lived and in which one of the following also lived for more than
half of the year (if half or less, see Exception to time lived with
you on this page).
1. Any person whom you can claim as a dependent. But do not
1. Your qualifying child (as defined in Step 1 on page 17)
whom you claim as your dependent based on the rule for Children of
divorced or separated parents that begins on page 18,
2. Any person who is your dependent only because he or she
lived with you for all of 2009, or
Rule (2) above seems to disqualify you from claiming head of
household. But the rule is confusing because to be a dependent they
have to meet many rules, which the time rule being one of them.