In my LAM family, we have seen my ggg grandfather's name listed as William LAM and William LAMME. Have a copy of a land deed from a James LAMME to William LAMME in 1808 and we believe this William LAMME to be the same William LAM who is in my direct line of descent (my ggg grandfather who married Elizabeth Ware (or Weir). Don't know when or why the name spelling might have changed. As far as we know, all our relatives were from Virginia (Rockbridge/Rockingham areas)