Over a period of 30+ years, I searched for every record of every Lynn or Linn in Scotland I could find born prior to 1900. I have about a dozen families using necronyms, predominantly but not exclusively for sons. I don't know about England, but in a cemetery here in the U.S. I once found gravestones in a family plot consisting of the parents and four children, three of whom were girls with the same first name, all deceased by the age of eleven. It was very sad, and I hoped the parents did not use the name a fourth time.
Having nothing to do with necronyms, it once was a custom among Germans to give every son, or every daughter, the same first name with a different middle name and then to call all but one of them by his or her middle name. In two of my husband's German families, church registers of baptisms show the naming; and other documents including each father's will show the children being called by middle names.