The game was even until the latter stages of the third period when Tyldesley edged into a 14-11 lead, helped in the last second when keeper Aaron Atherton scored a speculative, length-of-the-pitch solo! Rotherham recovered to 15-15 in the last period before Brown clinched both points.
Leeds lost a 5-1 lead against Watford Saxons but snatched a 7-6 victory late on with a goal by Gabor Fulop. Watford had one more chance to equalise - only to be thwarted by an excellent save from Leeds' goalkeeper Richard Murray.
Caledonia Storm beat Warwick 14-11 thanks to a dominant third quarter in which Ben Parsons (Photo: Trevor Hyde) scored three of his six goals.
Later, Tyldesley won by a single goal for a second time in the day - 9-8 against Warwick - to make it four victories out of four so far.