hi
if she's soothing herself back to sleep and you don't have to get out of bed, i'd classify that as sleeping through the night!! so well done.
at 4 months that's fantastic to not need a night feed and to be able to put herself back to sleep. she's doing just great!
ok, i think she's taking short naps for you in the morning because she's UT, certainly for the first nap yesterday i think that was it...then as the day goes on her A times are too long so may be OT which also causes short naps. at 4 months the A time should be more like 2 hours. every minute they're not asleep is A time. so if she wakes early from a nap that's A time until she falls asleep again for the next nap. if she does a short nap which is not as restful you will need to shorten the following A time to avoid OT. if you fiddle with the A times a bit it may help the short naps.
yesterday's A times were 1 hour 50 min (a touch too short resulting in a short nap), then 3 hours 10 min (too long after a short nap but she did do a long nap here...
), then 2 hours 10 min (this is about right), then 2 hours 10 min after catnap (this is too long for last A time, it should be 1.5 hours max).
she is eating every 4 hours which is great.
i would aim for a 2 hour A time first thing, then 2 hours 10 min if she does a long nap, but only 1 hour 45 min if it's short.
a 4 hour EASY looks like this:
7 E
9-11 S
11 E
1-3 S
3 E
5-5:45 S
7 E
7:15 bed
sometimes by fiddling with the A times you will get long naps, but you can also continue trying w2s if you like.
HTH