Be aware that there are two things that can happen--natural birth or C-section. The first is going to make her sore for a few days. The second is the time to set it up for 3-4 weeks.
Most times it's just dinner. Of course, you're asking on a senior citizen's board, so my experience is from the days before the Internet. (I can't help you on the customs of how websites work for something like that.) Back in my day, it was a church and family effort. Family got first dibs on when they'd like to prepare the meal and what they were making. Church members negotiated other days and what they'd prepare. (If two people planned to make meatloaf, either someone had to change what she/he would make or offer to make it a few days later.)
Also, it depended on where the new family lived. If they were in a one bedroom apartment, we assumed there is no extra freezer to give all the meals at once. Mom has to be in on the negotiations too, and needs the ability to make last minute changes. (Thou shalt not wake up baby after taking two hours to put baby to sleep. lol) Usually there was one coordinator--a very good friend like you--so Mom doesn't have to worry about bugging a stranger or remembering who is coming when.
Oh, and you might have to be bold. Quite often back then, people thought soup was a good meal. I remember one friend thanking us over and over again for a multi-dish meal with "sink your teeth in" meat. She was fine with soup for dinner, but her husband was 6'6", 350 pounds (and yet not even overweight) and a long-distance trucker, so he wasn't good on living on soup alone, but he also didn't get much chance to make dinners, so he wasn't great in the kitchen either.
That's the best my memories work 30 years later. (Whoa! I just realized all those babies probably have their own babies now. lol)
Added:
Whimsy, it is often no more "needed" here than anywhere else, but a mom with a first time newborn is going to be overwhelmed figuring how to balance everything anyway. Suddenly sleeping through the night is but a memory, peace and quiet happens at small intervals, and panic about doing everything right takes over. (Am I feeding her right? Am I changing her right? Should I rock her to sleep or let her cry it out? I've fed, changed, and rocked her. Why is she still CRYING? I want my mommy! Arrrrggghhhhh!) So, out of all to deal with, it's just nice not to have to deal with making dinner until all the other angst is either ironed out or assumed this is what life is like forever. lol