Below is a round-up of the birth announcements from British newspapers. Sources include a national paper (The Telegraph, The Times) and a broad range of local newspapers from across England, Wales, Scotland and Northern Ireland.
Sibling names are in brackets.
Boys:
Arlo Finch Bear
Bartholomew "Barty" Roger James
Bertram Alexander James
George Geoffrey
Hamish Edward
Henry Richard Francis
Joseph Ynyr Harlakenden (Magnus Oliver Carwardine)
Leo Arthur
Phoenix Bryan Guy
Theodore Brendan
William Grainger (Edward Andrew)
Girls:
Alice Auriol Tatchell (Thomas "Tommy" Christopher Cran)
Allegra Sophia
Amelia Lina
Calliope Margaret Evelyn
Delfina Maria Ann (Rufus Nicholas Francis & Cosima Daisy Manuela)
Ebba Aurora Daphne (Diana)
Eliza Rachel (Flora Mary Isabella)
Emily Susan
Georgiana Galbraith Louise
Katie Willow
Maya Daisy Emilia (Lily Grace Rose)
Olivia Caroline Ivy (Mathilda Elizabeth Violet & Madeleine Alice Frances)
Olivia Rose
Tabitha Isobel Wren (Ottilie Alice Robin)
I cross-reference older BAs to find the full names of the siblings, however often they are missing (especially the eldest siblings, or for half-siblings) which explains why you will sometimes see something like: George Henry (Lucy, Emma & Jack Arthur). "Lucy" and "Emma" may well have middle names as well; I simply cannot find them online.