Easiest way is probably to use a spare column  to hold a filled-in name.

Assume ... name is in column A; cells without names are empty; if the cell
is empty, then take the name from the previous cell  that is not empty; spare
column is G.

=IF(A5="",G4,A5)

If this is copied down G, it'll bring names across, or look up to the
previous row  for a value.

You can then auto-filter on G.

Now this isn't a copy, it's a formula. E.g. you can't delete a row without
mucking things up.

If you want, though, you can select all of column G, then
copy/paste-special-values to get rid of the formulas.

Not sure why you'd look for Post Code being blank. If that's significant,
then this simple formula won't cater for it.