Boys: I love Edward. Alexander is ok, but I don't like the shortening of Alex, which you may not have a choice over. Henry is ok. I much prefer Harry. I don't like James/Jamie.
Girls: Isla is gorgeous, but fashionable and very 'now'. Alice is lovely. Leela just sounds odd to me. Elizabeth is just beautiful! So many lovely nn's that an Elizabeth will always be an Elizabeth if that makes sense I would definitely use Elizabeth over Eliza.