I do have the Reverend Edward Reginald IREMONGER in my database. He was one of I believe 9 children born to Henry Edward IREMONGER and Emma Georgiana FREELAND. This IREMONGER line has strong links with Wherwell, Wherwell Priory being the home of many generations until sold out of the family in the 20th century. Many of that family were, like Edward, vicars, in Wherwell and surrounding villages such as Goodworth Clatford, Longparish. I have a provisional tree for this line back to a William IREMONGER born before 1632. There are currently about 120 entries in This tree carrying the name IREMONGER (not including spouses and children via female lines). Some notable members of this tree are:
Tom (Thomas Lascelles Isa Shandon Valiant) IREMONGER born 1916 and at one time the MP for Ilford. Tom died in 1998 and was a grandson of Reverend Edward Reginald IREMONGER. His wife Lucille d'Oyen PARKS, a well known author (as Lucille IREMONGER) of books with a Carribean theme. Frederick Athelwold IREMONGER, born 1878. Biographer for William TEMPLE, Archbishop of Canterbury
Another researcher is married to an IREMONGER from that line which I can put you in touch with if you wish.
I am intriogued by the name you have for Edward IREMONGER’s wife as Jessie A. BEADEL. I have her as Jessie Adeline CHALK, my source being Burke’s Landed Gentry.
Please let me know if you would like a copy of this tree.