The numerals represent letters from the English alphabet, and the title is about the best hint I can give.

203 768 209 695 768 203 602 1202 812 398 1202 628 910 1202 695 910

What are the 8 words, 4 across, 4 down?

As I had not figured out the hint, dominance, I can not be sure I have the solution. Yet, the following eight words with a letter correspondence to the ten numbers do fit the grid:
ALES, GOAT, GOWN, NEST, OGLE, OGRE, TENT and WREN

203 G   209 W   398 L   602 R    628 S  
695 N   768 O   812 A    910 T  1202 E

G O W N
O G R E
A L E S
T E N T

Edited on June 21, 2010, 2:38 am

Posted by Dej Mar on 2010-06-21 02:35:41