Judging by their "everyday" names, I'd put them in the pure blood but less than aristocratic class of Wizards? Like the Weasley family ?
If that's what you were going for, then you hit the mark. They'd most likely be sorted into Gryffindor & Hufflepuff houses...
Their family is known for
Herb based magic,
June has extensive groundwork in Healing.
Edgar has a long career in the Ministry and is aiming toward more reforms that will hopefully earn him the appointment of Minister.
Iris &
Lily are Aurors in training, nearly through.
Rose just took up a teaching position at the Beaxbatons schools.
Arthur is in his final year at Hogwarts, Gryffindor House & a Prefect. Plays a bit of quidditch, as expected but he's looking for a mentorship program in the ministry. Very ambitious one.
August, fourth year Ravenclaw has a penchant for... Well, actually, nobody really knows what
August's thing is.
June feels that somebody ought to find out but
August is very good at keeping his secrets. There's rumours that he runs an O.W.L questions racketeer but so far, Nobody had been able to prove anything.
Henry is a Transfiguration & DDA Prodigy. He plans take his OWLS & NEWTS as early as he can and to go into Magical Research. He's in 3rd Year.
Slytherin will help you on your way to greatness!!!