The Cumbrians went into the game on the back of a disappointing home defeat to Leyton Orient last week and were determined to produce a positive response.
Joe Anyinsah had given Greg Abbott's men the lead after 19 minutes, but Scunthorpe's Paul Hayes denied them all three points with a 69th-minute equaliser.
"It was good to get a point against Scunthorpe but we're disappointed with the goal we conceded," Murphy told the club's official website.
"They're a top side pushing for the play-offs and we got off to a great start.
"It was scrappy out there and the conditions weren't really conducive to good football. The wind dictated play, so we just had to go out there and play as well as we could."