The Old World People found it quite easy to move in and take over Indian claimed lands anytime they wished.
The inglorious Second Seminole War in Florida, for example, lasted seven years (1835 to 1842) and included the "Dade Massacre" in which Major Dade's and his command of a little over 100 men were almost entirely wiped out. During that conflict, Indians attacked white settlers as far north as Tallahassee.