To see if those whose ancestors may have originated in Scotland, Brazil or Portugal actually have a genetic match.
To also learn the whereabouts the various families migrated.

If you go to this map, you can see where the Alves men and women were concentrated in 1880 
https://forebears.io/surnames/alves#place-tab-1880

You can alter the date to 2014 - this shows none left in the UK.