I think you are saying that you have found this marriage in OFHS' transcript of the Faringdon registers? If so you can, if you feel it necessary, view the original on film/fiche at the Berkshire Record Office or at an LDS Family History Centre. If the filmed original is illegible you can sometimes persuade the BRO to get the original out for inspection. However, it is unlikely that the original will have anything that the transcript does not apart from, sometimes, the name of the officiant.
When it comes to 'trace further' are you looking for their lives post-marriage or their birth/baptisms?
As for 'Thomas of Hatford' what context was this found in, can you give a reference? Which archives are you referring to? My first instinct is to doubt that he was the son of a couple married only 3 years earlier, the 'of Hatford' sounds like an adult is being referred to.
It is possible to trace families back a long way, the higher the status of the ancestor the more likely there is to be information. However, most people were not royalty or nobility and there are few records to help trance them until parish registers were first kept in 1538. Even then the registers of most parishes don't go back that far. Of course it is easy to lose track of them long before you get back that far.
