A quick check shows that the following four players have scored 5 goals for
Aston Villa in the top division:

Harry Hampton v Sheffield Wednesday 5.10.1912 (Score 10-0)

Harold Halse v Derby County 19.10.1912 (Score 5-1)

Len Capewell v Burnley 29.8.1925 (Score 10-0)

George Brown v Leicester City 2.1.1932 (Score 8-3)

I also saw a player score 5 goals in a game for the Villa when Gerry Hitchens
scored 5 in an 11-1 victory over Charlton in 1959 - unfortunately we'd been
relegated to Division 2 at the end of the previous season :-((