Russell said: "The first half showed how good we can be".
"We have three of the toughest games to come", admitted the former Glasgow fly-half.
Kinghorn's pace running the ball back gave Scotland a little lift but it needed opportunism from Russell to get them back in the game on the half-hour.
"There was a lot of knock-ons and we gave away penalties in the second half". They rallied and defiantly worked their way back into the contest but the defending Guinness Six Nations champions ultimately proved too strong for their first win this year.
The 29-year-old played the entire first half during the second round game against Ireland that Scotland went on to lose 13-22 and was replaced by Jamie Ritchie in the second half.
Carbery nearly gave Scotland its only try from an intercept, but he created the only try in the second half and kicked a penalty to deny the Scots even a losing bonus point at home.
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"Joey Carbery has flourished since moving to Munster and starting regularly", said Best.
"We hold ourselves to a higher standard and the guys will be looking at that, those who made the mistakes, myself included".
Schmidt also spoke highly of Carbery for his impact after coming off the bench.
Sexton required treatment on his leg following the opening try on ten minutes and got a bang on his head before the 17th minute. We conceded the try a minute after that and lost one of our best players'. By and large we fronted up to our task as we had to'.
But Jones fumbled a restart from Jonny Sexton that looked to be going out on the full, and Ireland had their first foothold, although initially the Scots seemed to repulse them and won turnover possession.
"It wasn't the most spectacular game of rugby there ever was, but I think it was two teams going hard at each other and we are very, very grateful to win".
"I'm the attack coach, and we weren't able to get those two or three phases either to get in behind the defence or set up our attack shape".