Does the ace of hearts beat the ace of trumps in tarbish?

What is trump in the tarbish game? This is the question you have to ask yourself first of all. It is my understanding that for example if diamonds is trump in tarbish and the ace of diamonds is laid and then the ace of hearts then is played that trump triumphs! Hence the name trump cards (because it triumphs over everything else)

No the Ace of Hearts doesn't beat the Ace of trump. The lowest trump beast anything non-trump. So 6 of trumps beats Ace of anything non-trump. Also note that both the Jack and 9 of trump are higher than the Ace of trump, Jack being highest. The exact order of cards, as well as rules can be found here: http://tarbish.com/books/game-tarbish/points-and-scoring