From Wiki:
… 2004–05 season that Lita really established himself in the first team. That year he scored 29 goals in all competitions for club and one U21 international goal taking his tally to 30 for the season.
… in 2004/05, Elliott enjoyed a fantastic season netting 27 goals in the league (which earned him the golden boot, albeit shared with Dean Windass) as well as 2 in the cup, while also starring for Northern Ireland.
So Elliot got 3 more league goals (hence the Golden Boot), but it was as I remembered that Lita just pipped him by one goal in all competitions.
Edit; Hang on Lita scored for England under 21, but surely Elliot got a few for Northern Ireland that season, so he probably did score more.
Wow my memory served me well with saying Lita scored 29 goals!