Yes. They were dammed up and broken a couple times. The biggest flood went north into the Hudson Bay...the ice sheet that was on the largest lake, became boyant, broke and slid into Hudson Bay causing gawd awful tsunamis.
Once this 'chill' period was over, the Ice Age melt resumed unhindered.
It was just after this period that the Mediterranean reflooded and eventually broke the dam at the Bosporus and flooded the Black Sea.(Noah's Flood?)
Like blam said, the biggest (final) flood went north, but prior to the last, there were several other flooding events, some of which flowed southward, some which were "domino" effect floods, ( i.e., glacial lakes emptied into others, then into Lake Aggassiz, then channeled down available outlets..
Here's a good link with history of Lake Agassiz..
( Grew up in North Dakota, proud member, Lake Agassiz Rock Club.. )