with the caveat that rsbones is absolutely right, you should consider the enthusiast compacts -- the larger than normal sensors tend to give better performance: Canon G12 and S95 or 100, Nikon P7100, Oly XZ1, Panny LX5, Samsung TL500, Fuji X10. Sony doesn't have an entry in this market that I am aware of.
All the cameras I listed are well regarded though the Fuji is very new so there is not much experience level to go on. All will shoot in RAW which should give you a bit more post processing control over noise, etc. in low light shooting. The P7100 has the longest telephoto reach, the Oly has the fastest lens so likely to be good choice for interior shots, some start at efl 28mm others at efl 24m so the latter group will start wider. The smallest and lightest is the Canon S95 or 100, the others are bigger and heavier but all should meet your purse or coat pocket criteria. You are going to have to make some compromises. Nice feature of the G12 and Samsung is the articulating LCD which can be turned inward to protect it from scratches when kept in pockets, etc.
Full disclosure -- I own a G11 and an Oly m4/3 and have owned a Nikon DSLR and Panny compacts. I prefer Canon and Oly jpeg engines and color rendition to Panny and Nikon. I have no experience with Fuji or Samsung.
Video is of no real interest to me so I cannot comment other the video performance of any of these cameras.
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RaymondR