Hi Lisa -
Unless I’m not reading the Bob Holidays website correctly the Howarth and the Dales (albeit the southern edge of the Dales) ONLY runs on Fridays which suits your needs, yes?
If you wanted to visit Haworth and the Bronte Parsonage, plus moors, you could do it under your own steam from York. Take the train to Leeds from York, change to the Keighley (pronounced Keith-ley) train and at Keighley change to the Keighley and Worth Valley Railway for Haworth. It would most likely require an early start and late finish, but it is doable. If you wanted to eat on the way home Leeds is a big city with a load of eateries and I’d get there as a priority on the way back as the trains to York from Leeds at least run quite late.
However, be sure to check your train times carefully as the K&WVR is privately run by volunteers - some services are steam hauled - and thus the time table tends to be a bit thin. If you can’t make it work the journey to or from Keighley is doable by taxi and Bronte taxis are based near to the station by the bridge. Buses in my experience also tend to be a bit thin, but might also be worth a check.
The station at Haworth is situated at the bottom of The Main Street in Haworth and it is a stiff climb up the hill to the church and Parsonage/museum/bookshop which is at the top. Fortunately there are plenty of places to gawp into on the way up, including cafes.
If time and the weather allows you can wander from the Parsonage out of the village towards Penistone Park and a taste of the moors. Strong hikers will be able to walk over the moors as far as the Bronte Falls and bridge and further on to Top Withens, a wild and exposed spot (it’s on the Pennine Way, so you’d expect that) which is said to be the location of Wuthering Heights, although the ruined farm buildings there never bore any resemblance to Wuthering Heights the house, as described in the book. A large plaque on one of the walls makes this clear too! First editions of Wuthering Heights have an illustration of WH which is clearly located at Top Withens. The moors here are high and exposed and even in the balmiest of conditions you would be foolish not to wear proper hiking shoes/boots and carry a waterproof just in case. An OS map I would recommend if you can read one (or the OS style Yellow Publicatons pocket maps are good and cheaper!). An umbrella up there would usually be as much use a the proverbial chocolate teapot unless pressed into service as a parasol to keep off the sun, not unknown, but unusual! Oh yes, and having got there, you’d need to walk back unless you walked down to Stanbury and phoned for a taxi (there are a couple of pubs in the village) to collect you for the short journey back to Haworth.
If you need more info, don’t hesitate to ask.
Ian