What type of race is your friend training for -- marathon, half-marathon, 10k, or something else? The reason I ask is that 70+ miles per week seems like excessive volume for anything other than marathon training.
The NSCA Strength and Conditioning Journal had a pretty comprehensive article on strength training for endurance athletes in the February issue. Available
here, but you have to pay for it. I'll address strength training in a minute, but first I'll make some general programming recommendations.
Your friend should consider periodizing here training to a greater extent. Long Slow Distance (LSD) six or seven days a week is far from an ideal training protocol. Instead of just accumulating volume as competition time approaches, she should consider reducing the LSD to once or twice a week, increasing tempo runs to a couple of times a week, and including intervals once a week. This should be an overall decrease in volume, but the LSD days would get longer as she approached her competition time; that way she still builds her endurance for the long runs, but she's not constantly beating herself down with greater and greater mileage.
She should absolutely include some rest days, or at least some non-running days for strength training or active recovery. Otherwise those little, nagging injuries are likely to get worse.
As for strength training, I'll try to summarize the NSCA article.
1) Training for maximal strength and power improves running times, because it improves running economy; in other words, you can run faster at a given level of exertion.
2) Each of the following types of exercises will improve running economy: basic strength exercises (compound, multi-joint, free weight exercises, like squats, deadlifts, lunges, presses, rows); power exercises (Olympic lift variations, jump squats); and plyometric training. Include isolation exercises for injury prevention (dorsiflexion, calf raises).
3) You can't do everything at once, especially on top of your endurance training. This is where periodization comes in. During your "base-building" phase, when the emphasis is on accumulating mileage with LSD, you should focus on basic strength exercises 2-3 sessions per week, with 2-3 sets of 10 for each exercise. As you increase intensity in your running leading into the competition period, decrease volume and increase intensity in your weight training as well -- sets of 5-8 reps for strength exercises, incorporate power exercises for sets of 3-5, and possibly implement some plyometrics.
4) Ideally you would do your lifting on non-running days. If that's not possible, the article recommends performing a morning endurance session, and allowing at least 8 hours recovery before a PM strength session. If that's not possible, I suggest you lift first, then run; running first (without 8 hours recovery) definitely interferes with strength training, but it's unclear how much lifting first interferes with endurance training.