Unable to open the flip to insert batteries as well memory card

No, the Canon A560 does not have any internal memory, you must use a memory card.

Thomas Drayton
Owner, www darntoothysam com Digital Camera Repair

The A530 works with SD cards. It will not work with higher-capacity SDHC cards. You need to use SD cards, 2GB and smaller.

Think your problem is that you are looking in the wrong spot. Don't know why your manual is telling you to look there (are you sure your manual is for the A560)?
Your CR1220 date/time battery is located in the regular battery compartment. Look right beside your AA batteries. You'll see a little flap labeled "CR1220". Slide this open with your fingernail, and take the little coin battery down to your local drugstore to buy a replacement.

Have you tried the switch on the side of the SD card in both positions? Failing that, the camera will need a new SD slot fitted by repairer.

If that camera uses a memory card, just buy a cheap card reader for about $10 at wallyworld or an electronics store. It is easier and no software or connection problems.

there is a little slide tab on the card. switch to unlocked

Are you still using alkaline batteries? If so, alkaline batteries just don't have the power for more than a few pics in a digital camera. Some may have reached their shelf life, and though brand new may even have problems just powering startup of the camera. Digital cameras for the most part should only be used with rechargeable NiMH batteries. Retailers (try Walmart) sell these for around $7 for a package of four (about $15-19 for the batteries with charger). Keep in mind they'll save you big bucks in the long run over alkalines, AND they'll last for at least 100 pictures per charge (and probably many many more). You'll be very pleased with their performance, and may slap yourself for not buying them sooner. When at the store, look on the package for a power rating of at least 2500 mah.

The memory card that comes with the camera is only to verify that the camera works. And yes it's a horrible card with only about twenty pictures that can be stored by it. You'll want to buy a larger card. They're very inexpensive these days:

1GB ~ $6
http://www.amazon.com/Transcend-TS1GSDC-Secure-Digital-Card/dp/B000FGQOFO/ref=sr_1_3?ie=UTF8&s=electronics&qid=1219974227&sr=1-3

2GB ~ $9
http://www.amazon.com/Transcend-TS2GSDC-Secure-Digital-Card/dp/B000FGNM6I/ref=sr_1_2?ie=UTF8&s=electronics&qid=1219974296&sr=1-2

My canon powershot A560 memory card is locked but can't find out how to unlock it. HELP!

hows the memory on the computer and is the system recent

Hi,

May memory reader correpted or insert reversely memory card into reader.