Golcar are third following a home success sealed by Kieran Ryan (2) and Fabian Evans, a point behind Bay Athletic and three off Marsden.
Meltham Athletic are fifth, on the same 12-point mark as Golcar, after defeating Lower Hopton 2-0 with a Tom Mathews double, one of them a penalty.
Brighton Mugadza, Steve Perrin, Sam Jerome and Paul Quinn netted in Bay’s 4-1 home win over Halifax Irish.
Jon Newiss’s strike for Marsden couldn’t stave off a 3-1 defeat by Tyersal at Fall Lane.
But there was better news for Kirkburton.
Dean Calcutt’s side chalked up their first win of the campaign, 2-1 at basement side Brighouse Town, with goals from Robert Bartram and Daniel Deblock.
Marsden’s miserable day was completed by a 6-0 defeat for their second team at the hands of Third Division new boys Huddersfield YMCA, who had Richard Evans (2), Andrew Berry (2), Alistair Cook and Elliott Whitehead on target in their opening match.
Bay Reserves, who like the first team, won their league last season, made it two wins from two in Division II with a 3-2 victory at West Horton.
Allette Courtney netted twice and Daniel Facey got the other.
Fellow Huddersfield side Storthes Hall Reserves and AFC Emley also have six points from six, the former defeating Rawdon OB 4-1 and the latter beating Kirkburton 1-0 on Friday.