Hamilton, Milwaukee’s No 9 hitter, drove an 0-2 fastball at the letters from Jax into the right-field seats for his second home run of the postseason – half his regular-season total and just his second since 6 June.
In Australia, fans can watch on ESPN, with streaming available through Disney+ and Kayo Sports.
“We were going to keep fighting until the end – the last inning, the last out, the last play, the last pitch.
Brewers still hold 3-1 lead in best-of-seven series In the UK, the series will be carried by TNT Sports.
Williamson, who had been 1 for 15 in the postseason, hit a chopper over first baseman Jake Bauers and into right field.
Rays manager Kevin Cash said he hadn’t decided on a starter yet.