Do the best you can. If you have exit but no entry record make a good estimate. USA will always make an entry stamp but they may make a mistake to. I was lucky because I kept record of my entry and exit to everywhere. This is basically to calculate your time out of UK. If you are applying on Marriage to a British basis then you have no problem as you have 3 years record.
Try finding answer from your papers like pay slips or bank record where you start using your credit card, or starting your church services. Events like birthdays marriages may also provide you some help. I had three places where my entry stamp was not present in last three years but I kept the record and they never questioned me even though it was not on the passport.