Much good info above. I've done a fair bit of digging, and found that the one to watch is several children of the same parents with the same name. Baby Frederick dies at 3 months. Another son is born a year later and also called Frederick. He dies aged 6, so... And so on. That can lead you to some confusing results.
I've got the Mormon 1881 Census on CDROM, and that's proved very useful. Also got the British Isles Vital Records Index - also very useful. The various web search sites are also good.
Beware, though, of the Mormon website. It's chock full of errors and worse. Many years ago my elder daughter and I were just starting our research, and worked out a theory to link the bits we had. She wrote to the Mormons to ask if they could confirm our theory. We never got a reply, but a year or so later we found all our guesses logged on the Mormon site. We thought "whoopee - we were right".
Then we did a lot more research, found the right records, and realised that all those theories were wrong. But the Mormons have entered them all as if they were right. Could be very confusing...
Have you checked the Nonconformist records for your family? I'm lucky that mine were mostly Anglicans, and I've visited the Parish Churches where they lived and pulled lots of good data from the records there.