The Flames created their own opportunities and actually could've - should've - been in front heading into the first intermission.
Less than a minute in, Bishop, flat on his belly, was forced into parlaying every blessed millimetre of that 6-foot-7 frame to stretch his right leg to the post and stab a toe at Andrew Mangiapane's sweeping-across-the-blue-paint attempt.
Not long afterwards, Milan Lucic sent an onrushing Rasmus Andersson right down Main Street (or the Malmö, Sweden equivalent), only to be denied again by Big Ben.
Not that a little luck didn't come to his aid, too, an exploratory wrist shot from Mark Jankowski from distance, out near the Dallas blueline, ringing off iron and out of harm's way.
"We had some looks early," agreed Peters. "Mangie had a look on the first shift, a real good scoring chance, then Andy was down the middle in the first period. First shift of the second, we had a carryover on a powerplay and Chucky was in on a little partial one, on the off-wing.
"I thought our second period could've been better but it's 1-0 and instead of 1-1 it's 2-0 on the transition going the other way."
After a wobbly beginning, the Stars seem to have regained their footing.
"That's another big, heavy team over there that plays that playoff style, didn't give us much,'' gauged Tkachuk, once again Calgary's most consistently dangerous offensive threat.
"After two periods we had 12 or 14 shots and not too many Grade As. As forwards we've got to do a better job of getting to the net.
"And one of the better goalies in the league, Bish. If he sees it, he's going to stop it. It's our job to get to the net.
"A tight game. That second goal hurt a little bit but then we got one right back, so it's still a one-goal game.
"We gave a little bit of a push but not enough."
Through no fault of Talbot's.
"I mean, you want to win hockey games,'' he said, when asked about separating performance from outcome. "That's first and foremost.
"But I think if I go out and put on performances like that more often than not, I'll get a little bit more run support than I did tonight.
"I have a lot of confidence in group in front of me. I thought we gave ourselves a chance.
"We just didn't get enough pucks and bodies in front of Bishop tonight."