Hello Blondshania,
You indicated that you have a UK spouse which implies that you are married. If that is the case you cannot file head of household. Your alternatives are to continue filing separately or your husband can join the return my election. I assume your daughter has a US SSN. If not, you need to apply for one immediately to include her on the return. I hope this helps.
This isn't accurate. If her spouse is a NRA and she does not claim him on her US return, she can claim head of household (assuming all other conditions are met). Publication 501 states this and I have copied below for convenience:
http://www.irs.gov/publications/p501/ar02.html#en_US_2011_publink1000220775Head of HouseholdYou may be able to file as head of household if you meet all the following requirements.
You are unmarried or “considered unmarried” on the last day of the year.
You paid more than half the cost of keeping up a home for the year.
A “qualifying person” lived with you in the home for more than half the year (except for temporary absences, such as school). However, if the “qualifying person” is your dependent parent, he or she does not have to live with you. See Special rule for parent , later, under Qualifying Person.
If you qualify to file as head of household, your tax rate usually will be lower than the rates for single or married filing separately. You will also receive a higher standard deduction than if you file as single or married filing separately.
Nonresident alien spouse. You are considered unmarried for head of household purposes if your spouse was a nonresident alien at any time during the year and you do not choose to treat your nonresident spouse as a resident alien. However, your spouse is not a qualifying person for head of household purposes. You must have another qualifying person and meet the other tests to be eligible to file as a head of household.