If you've got a digital camera, then when your dd picks up a present to open, take a snap of the gift tag so you can see who it is from, then take a picture of her opening the present - well, just after so you can see what it is! As a safety net you could also take pictures of each present with the label visible so that if some get missed you might be able to work out by process of deduction from size, paper etc who gave what.
Then you can go through and see who has given her what. And hopefully you'll also have a nice picture of your dd looking excitedly at the present she has just opened that you can not only send/text/email to the giver to show them how much your dd loved the present but you also know who to thank properly for what.
Even better, get one of your parents or your sister or somebody else who is there and watching everything very excitedly to be in charge of the camera (especially if one of them likes taking pictures) - make a big fuss of the routine of going and having her photo taken twice for each present - and make the 'official photographer' aware that this is really important to you and why. Then you get to watch, they get to be involved in the present opening process, it slows it down a little and you get a record to do thank you notes from after christmas. And if they screw it up you get to blame them for not knowing what present came from which person... 
I'd also say up front to your parents that if your dd is getting bored opening presents, then it's time to stop and save some for another day! There's nothing wrong in keeping a few for boxing day or beyond even.
And maybe you could do a santa stocking that gets left on your dd's bed at home for her to discover when she gets home, even if it's just got a few bits and bobs in, it will be exciting to discover. Plus you get to discover the excitement of making up a stocking for your dd - even if it's just a chocolate orange (real satsuma would go icky if santa left it there and you were away a few days!), some chocolate coins, a new pair of pants, a vest and t-shirt that you were getting her anyway, ditto some bubble bath, a new tooth brush etc, a couple of bits and bobs you know she would like - poundland has loads of things for a pound each from minnie mouse lip balm and flannels to pens, stickers and craft sets, dvds, books, some seeds for you to plant together, and then top it all off with a cute little cuddly toy poking out of the top (ok so that last one was my mum's tradition and I've continued it, my dc love to see who is at the top of their stocking!). Alternatively there are loads of great present bargains on the bargains thread in the christmas topic, from stocking fillers to big things - lots of great stocking filler type things for just a pound or two (although lots come from china so you need to be ordering now for pre christmas delivery!)
And then have your own tradition of a new year's present for example so that you can give her something. Or set her up a bank account that you pay into so that when she's 18 you can say 'here are all your christmas presents' - then at least you feel you are doing something rather than feeling sad at everybody else taking over.