how many calories for workout with trainer?

I've been working out with a trainer at my YMCA since August, 1-2 times per week. I've gotten a lot stronger and fitter but haven't lost weight because I've been eating too much. So now I'm trying to change that.

When I go, she has me working pretty hard for 30 minutes. Ex: set of squat with row, squat with press, russian band twist, rest for 1 minute. then kettle bell swings, lateral lunges with 25 lb weight, plank series for abs, etc.

If I add 30 minutes of "circuit training" it comes to 278 calories, which seems high. If I add "strength training" it comes to 104 calories - does that seem about right?

I am trying not to let my calories get too low as I'm still nursing my baby.

TIA!