The JEs only have the postnatal period sense. I think it should go first.

@@ -15,4 +14,0 @@
-<gloss>bed used by a woman in childbirth</gloss>
-</sense>
-<sense>
-<pos>&n;</pos>
@@ -23,0 +20,4 @@
+</sense>
+<sense>
+<pos>&n;</pos>
+<gloss>bed used by a woman in childbirth</gloss>

https://en.wikipedia.org/wiki/Postpartum_confinement
Postpartum confinement is a traditional practice following childbirth.[1] Those who follow these customs typically begin immediately after the birth, and the seclusion or special treatment lasts for a culturally variable length: typically for one month or 30 days,[2] 26 days, up to 40 days, two months, or 100 days.

Wiki xref (not to this term exactly)
https://ja.wikipedia.org/wiki/産後の肥立ち
産後の肥立ち（さんごのひだち）は、出産後の産褥期<----- の女性に対して、生活上の様々な制限が加えられる伝統的風習。

This definition hints at the relationship between [1] and [2]:
https://kotobank.jp/word/産褥-70851
〘名〙 出産のとき、産婦の用いる寝床。転じて、出産およびその後の数週間をいう。

This use of "confinement" only adds confusion, and actually appears to be completely distinct from the "confinement" I've removed from all of the childbirth entries.  It would seem that to the extent "postpartum confinement" belongs, it would belong in [2], not [1].  

Even though sankoku has only [1], an image search (nothing scary) suggests that [2] is actually a common meaning.  Perhaps *the* common meaning.  (No societal need for [1] these days...)

@@ -15 +14,0 @@
-<gloss>confinement (for childbirth)</gloss>

@@ -20,0 +21,2 @@
+<field>&med;</field>
+<gloss>puerperium</gloss>

https://ja.wikipedia.org/wiki/産褥 
G n-grams:
産褥	53967
産じょく	19638

All of the kokugos define this as the bed used during childbirth. Daijr has a second sense (also in jwiki).

@@ -5,0 +6,3 @@
+</k_ele>
+<k_ele>
+<keb>産じょく</keb>
@@ -12 +14,0 @@
-<pos>&adj-no;</pos>
@@ -13,0 +16,7 @@
+<gloss>bed used by a woman in childbirth</gloss>
+</sense>
+<sense>
+<pos>&n;</pos>
+<xref type="see" seq="1755000">産褥期</xref>
+<gloss>postpartum period</gloss>
+<gloss>postnatal period</gloss>