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Thanks Jambo,Jambo wrote:Assuming your partner worked for 5 continuous years before 2012 (and registered for WRS if was employed), then the children are British from birth. Regardless if you apply for a passport.
I'm not familiar with China or Lithuania nationality laws, but I would imagine both country would see them as citizens until they do something that show they have chosen another citizenship (for example by applying for a foreign passport). If you want to keep the Chinese citizenship, the best would be a Chinese passport and Certificate of Entitlement - Right of Abode by the UK government. No need to ILR. You will need visa to travel in EU.