Mini breadsticks, cheese sticks, roasted parsnip/butternut squash/carrots (just use a light spray oil to give a coating - not goose fat!), slices of toasted pitta bread, cucumber, toasted muffin cut into strips with cream cheese. Small pieces of French stick with butter. I'm from the school of everything in moderation.
Just try little tasters of lots of different things, she'll let you know what she likes and what you need to leave for another time. I found the real pain was that DD would eat a little bit of something (a quarter of a piece of toast) and a couple of mouthfuls of banana and I'd gobble the rest - the pounds started to pile on when she started on solids!
DD didn't really get into eating meat until she was about 12 months, so I just stuck to lots of spiral pasta with tomato or cheese sauces (which she could pick up) or potato based meals (mash with beans/grated cheese). Now she'll eat chicken, fish and minced beef (13 months). Pesto pasta and noodles were a firm favourite from about 8 months, though the kitchen does resemble a bomb site when she's finished, forks and spoons are not on her radar and she still feeds with her hands.
I don't know whether how many teeth they have has a bearing on what they can eat? DD got her teeth very early including pre molars and could munch on most things pretty well. My local Surestart Centre ran a free baby first aid course which was great - a baby's airway is very different to that of an adult due to the lack of neck length - I have had a few hairy moments where I've had to pick her up out of the high chair and give her a whack on the back to dislodge something that had gone down the wrong way, but they soon learn for next time (she is an absolute greedy guts and will try and put far too much in her mouth before swallowing what she's already got in there).