I agree with Noddy and Sozobe. Do not change "Home". Home should be home.. comfortable. Rules will differ from place to place. There will be more set of rules when she starts going to school but they are school rules. As long as she is not doing anything (which does n't sound like it) which is way out of control, she'd be fine. And your worrying is OK.. you are a Mom
Is she used to be around with so many kids at the same time? What is the age group of the kids she would be with? Will there be any more settling-in kids or babies? If so, then it may add up to her anxiety by seeing so many crying kids around.
Ask if they would allow you to visit them with jillian for a few hours for few days. If they allow, nothing like it. It will give you sometime to evaluate how they function and Jillian some time to get to know the faces. Don't have to be too long though because when you start leaving her alone she will still suffer separation anxiety. It is only common.
Do not contemplate a mid-day visit. Many daycares do not encourage. It confuses the kid and even though it will be a mid-day visit, Jillian will still not let go off you. So the whole morning episode will run again. But it is ok to start with smaller periods of time. First 2 days for an hour. Then another 4 days for half a day. If she cries incessantly during these first few days, try to reduce the period of time. Always be prepared to pick her back up if the crying goes out of control. Also never sneek out while leaving her. Give a hug and remember to say bye. Tell her what time you will be back. Keep it short. Do not hang around for too long. If required, call the daycare right after you get to work and find out if Jillian has settled in. Oh and during this settling time make sure you spend a lot of quality time at home to get over her insecurities/fear while at daycare.
You may face one more issue with picking her up early. Children get manipulative. If she gets the hint that she will be picked whenever she cries, she may start using it very often. So be on guard.
I am so glad the finances settled for you. Good luck and keep us updated on how she is settling down.
Edit: shewolf.. please ignore the tone of the 4th paragraph. I was trying to write too much text in little time. Now that I read it, it is sounding very commanding. It is not meant in that way.