I know it's not Huddersfield, but it's an easy drive of no more than 20 minutes or so, to the Wortley Arms Folk Club, Wortley Village, Wortley nr Sheffield (0114 288 2245). Just follow the A629.
Meets 3rd Saturday of the month; guests + floorspots. This Saturday - Flossie Mallavialle - not to be missed!
No smoke venue - but you'd have to find a baby-sitter.