My DS was the same at that age - he was having 4-5 shortish naps a day, though would sometimes randomly throw in a long nap when we were least expecting it, just to confuse us :)
As a previous poster said, some kids just catnap at that age and there isn't a lot you can do about it. I drove myself nuts trying to extend DS's naps with limited success (my finest moment was probably lying on the floor next to his moses basket so he couldn't see me and patting him when he stirred between sleep cycles - only worked a couple of times). If you manage to resettle DD, that's great, but don't stress about it unduly.
If you can get hold of the Weissbluth book (some libraries have it) it's worth a look - he did a seven-year study into babies' naps. The emergence of fewer, longer naps happens naturally as a biological process - not so much to do with movement or solids, it's a developmental thing I think. The morning nap is the first to emerge, and Weissbluth says you often start to see a longer morning nap around four months - so not long to wait.
FWIW my DS has always been a couple of months behind sleepwise, and he started doing a longer morning nap around six months, with 45 mins at lunchtime and a 5-10 min doze late afternoon. Then around 9 months the lunchtime nap started to extend, and he's just dropped the late afternoon one and has two naps of 1-2 hours.
The other thing to mention is that as they get older they can stay awake for longer. When he was three months old DS could only manage an hour and a half awake before he'd get overtired and grumpy. Now, at 10 months, he goes 2-3 hours between naps so he doesn't need so many. Much better than having to wrestle him to sleep 5 times a day!
HTH.