Jonathan King launched his own record label UK Records to distribute his own releases and some other artists in 1972. The abbreviation UK stands for "United King".
Besides himself UK also released records by Terry Dactyl, Roy C, Lobo and 10CC. King got bored and closed the label, but retained ownership and regularly re-issued its catalogue.
Obviously, the records relevant for any ancestors of Irish descent born in the UK are UKrecords, and the research techniques are the same as those for researching UK ancestors.
Roman Catholic records may sometimes record the parish of origin of the parents in the case of a baptism.
In addition to British records, there are further original Irish records in the UK, including service records, as well as copies of Irish records, that you can consult here before you need to start your researches in Ireland.
The records are held at the General Register Office (GRO) and certificates of birth, marriage or death ordered by reference to indexes; the registration information can only be obtained by ordering a copy of the certificate.
As a consequence investigating the arrival of individuals is rarely an easy task particularly before the middle of the 19th century and finding details of a particular individual is often impossible, it may rely on the chance preservation of a small selection of documents or the use of related groups of papers.
Of necessity this has had to be a very limited survey of the types of record that might shed light on the arrival of an alien in the UK and it is far from complete.