These are the highs and lows of researching family history. Intriguing what Armagh Ancestry found out, but you can keep that to yourself. :)
It would be great for you if you are indeed related to Oliver Reed, more research will hopefully prove either way.
Birth certificates are really important records when trying to locate family members, they contain loads of relevant information that can point you in the right direction. Keep going, let us know what you find out.