Sunday service. First train is 08:10 from Euston. Get to Manchester Picadilly for 10:55.
How many people are travelling? If 2 adults, take 2 photographs and get a 2 Together railcard. You'd save a third off the price. The railcard would cost £30, takes <10 minutes to complete.
Without the railcard it would be £79.70 x 2 = £159.40
With railcard £52.60 x 2 + £30 (railcard) = £135.20