UK Immigration Law
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What passport does your wife hold?
Forgive my ignorance, but was Slovakia part of the EEA before you traveled here in 2005?
Okay, because neither of the child parent's are British she will not be eligible now to apply for UK citizenship.
If you have been living in the UK for 5 years then you and your wife have the right to apply for Permanent Residence. You must have been exercising your treaty rights during this time (ie. being employed, self-employed, studying or self sufficient). You must also not have been absent from the UK for more than 6 months in each year, though one single absence for up to 12 months because of pregnancy/child birth/serious illness/study/vocational training will not affect the residence period.
You would have to apply for PR by submitting the UKBA's EEA3 form (available for download from their website) together with supporting documentation proving your eligibility.
Once you have obtained PR and held it for 12 months you can then apply to be naturalised as British citizens. You would then be able to apply for a UK passport, as would your daughter.
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