rarely if ever The only way it could possibly work is if they separate from the pride until the cubs are old enough to either leave (males) or re-join the pride (female) assuming even the mothers will be recognized and re-introduced.
l remember seeing a doc where a lion pride is taken by new males, the new males finds the pride too small or something so the decide to move to a new place, but one of the lionesses stays behind, she is pregnant with new cubs, as she stays put one of the older leaders comes back she gives birth to the cubs, and the male lion dont kill them. its rare but it does happen, and l also saw one where the lioness hides the newborn cubs until they dont smell like the old lion, but has their own smell. tricking the new leaders to think they are their cubs.
Yep. That makes it even sadder since females on their own usually can't hunt as well--especially caring for cubs. ~BUT~ for this scenario, you say that other lionesses run off too. Maybe they all pitch together for this? lol
But, without a male lion, they'd be more like wandering nomadic outcasts...But that's an interesting story, too, I think.