Hello there,
Your boyfriend can only claim you if you meet the definition of "qualifying relative". This would include making less than the exemption amount $3500 in 2008 and living with him all year.
Also, he cannot claim your daughter because she is a qualified child of yours, even if you do not claim her---unless you are not required to file a tax return---which I doubt is the case if you have been receiving unemployment benefits for most of the year.
If you are required to file a return and are not a dependent for your boyfriend, then you should file a return and claim your daughter. Since you have earned income (worked until April) you most likely will receive a refund of taxes withheld and be eligible for the earned income credit.
Please let me know if you need clarification.
Best of Luck with your situation. If you feel I answered fairly, please hit "ACCEPT". If not, let me know! Feedback and bonuses welcome!
Wendy D. Rieger, Enrolled Agent