You will find Laura with her family in the 1880 Loudoun Co Virginia census, microfilm T9-1375 and T9-1376, enumeration district 51, census page 25, dwelling 140:
Wm H Havener head 33 marr
Emma Havener wife 22 marr
Cora Havener dau 7
John A Havener son 4
Laura V Havener dau 2
Estelle Havener dau 2/12
J Richard Havener brother 33 sing
Maria Havener sister 28 sing
Lucy Havener sister 25 sing
James W Havener brother 50 marr
Lucy Havener sis-in-law 55 marr
Virginia Havener mother 69 wid/div
Hope this helps.
Bob Stoy