I'm not sure what you are expecting as being defined as "proper" naps?
If you want to pit baby down to sleep, there are ways to encourage independant (ie not on mum) sleep. Primarily that will involve a dummy and swaddle.
If you mean nap length, that varies according to baby's needs at this age. They should mostly be sleeping though. Waking when a need isn't met (usually hunger), then a short awake time of maybe 45 minutes, up to an hour or so max, then back to sleep. So your day becomes repeating cycles of:
- wake
- feed
- floor time play
- settling to sleep - starts about 45-60m from waking
- asleep - anything from 30m to 2h is normal.
- wake and repeat
A well fed, well winded, swaddled baby given a dummy for comfort sucking should sleep easily.
So if you are swaddling and have given baby a dummy for comfort, check you are adequately winding.
Google winding techniques and try several. It need not be vigorous, just a back rub while lying on your shoulder for 10 mins is often enough. Ensure you wind after every feed and every period of crying (crying makes baby gulp in air). Check that head is above stomach at all times when feeding. When bottle feeding, ensure the teat remains full and free of air at all times.
If you are einding adequately, swaddling with a dummy for comfort and baby is still upset - feed more. That might mean feeding more frequently. Or it might mean spacing feeds out (pacifying with a dummy more often, instead of a feed) and making the feeds bigger.
In a baby under 6 months old, I would never deny a feed. However it is possible that you are misinterpreting her signals and assuming hunger when in fact she just wants dummy, swaddle and sleep.
If you are swaddling, offering dummy, winding adequately and feeding well, try reducing awake time because the more tired baby is, the harder it will be to get to sleep. If this isn't helping, speak to your doctor.