I'll admit that my son is only 15-months old, so I'm by no means a "seasoned mom", but I do have lots of friends & family with older kids and a few books they recommended to me about sleeping & naps are:

Healthy Sleep Habits, Happy Child by Dr. Marc Weissbluth

Secrets of the Baby Whisperer for Toddlers by Tracy Hogg

I found them both to be really helpful in giving reason to what might be going on with various sleep problems and how to fix them. 

I realize this isn't a direct answer to how to solve your problem, but hopefully it at least gives you somewhere to start.  Good Luck!

Wow.  That's a tough one.  I'm thinking you should make her stay in her room - asleep or not, quiet or not - for a certain amount of time.  Be consistent and don't give in.  Hopefully, she will get used to it.  Give her activities that she can ONLY do during quiet time to make it more appealing.  Start small - whatever amount of time you can endure her NOT being quiet - and build the time up gradually.   

There was a time in the past when my youngest (6) would play quietly in his room and NOT act like it was some sort of punishment.  I wish I had never, never, never, EVER stopped having him do quiet time.  LOL!  'Cuz now, when we send him to his room for some quiet time, he isn't always so sure it is a good thing.  And, as a homeschooling family of 5, there are times when we MUST have quiet for the older ones to do school.

My son did the same thing at about 2 1/2 years.  Now that he's 4 he rarely takes a nap, but I do make him do a quiet time.  I've worked it up to 1.5 hours. 

What has helped me is this "Okay to Wake" clock I bought for him.  It goes off in the morning and at the end of a 1.5 hour nap--but doesn't "beep".  It glows green, so that if, by chance, he does nap or is sleeping late in the morning the clock won't wake him.  When it glows green he is allowed to come out of his room.  I  bought the clock on Amazon:
http://www.amazon.com/s/ref=nb_sb_ss_i_4_7?url=search-alias%3Daps&field-keywords=okay+to+wake+alarm+clock&sprefix=Okay+to&ih=5_2_0_0_0_0_0_0_0_1.172_425&fsc=-1

Jennifer

I love the clock idea!  And also that "Healthy Sleep Habits, Happy Child" is an EXCELLENT book.  Saved us from going insane!!!  I am going to check into the baby whisperer one for sure :). 

P.S. One thing I do NOT agree with in the Healthy Sleep Habits book is the part where the author says that chiropractic has no benefit for infants.  I can tell you firsthand that that part is a LIE so don't be misled.  My 23-month-old sleeps FAR better after her adjustments and she also has not had ear infections since going.

thanks for the help, ladies.  She actually just decided to start napping again 3 days later.  :)  Hope it keeps up.