It is unlikely you will find any formal record. It was (and still is) the case that, under English common law, one can call oneself anything one likes, provided that there is no fraudulent intent.

As time has gone by, the obsession with documentary proof of identity has somewhat overshadowed this principle. In the early 20th century, a person wishing to change their name might well have inserted a notice in a newspaper to that effect. Nowadays Deed Poll would be the normal route, but even this is normally a purely private arrangements and no public records are kept.

Why don't you post your troublesome names and see if another pair of eyes can wheedle out the truth?