I guess movement within the UK is just "migration"?
Imber
Most of Ireland wasn't in UK during the period littlefacey is researching. However, free movement between Ireland and Britain continued.
There wasn’t always free movement. From 1939 to 1951 (the period that littlefacey is interested in) there was a full passport control between the UK and Ireland (as a result of WW2 and the Republic of Ireland being neutral) but for all that, the bottom line is that no passenger records were kept.