Looking at the snippet you posted, I'm reading it that Wm. [William] Holmes was the father of Rachel Holmes but there is no father for the groom George Holmes.
Regarding the 'moving around' it's difficult without the full picture (census records, baptisms for children, etc.) but labourer did often move about (either within a fairly small locality or from one distinct area to another.
Not all records are on Family Search so finding information just depends on what information is actually in the database. You can check coverage for an area to see if there's a chance you might have to look elsewhere. For example-
https://familysearch.org/searchclick British Isles on map, select England and scroll through the listings- some counties have much better coverage than others.
Once you establish what records are available on Family Search you can then start looking at other places. Ancestry, for example, have lots of English records- it's a pay site but if you don't already have a subscription then check to see if your local library does so that you can use it there. If there's a LDS library near you they might also have access, as well as lots of other materials.
