Middle name for Lila

I’m gravitating towards [name_f]Florence[/name_f] or [name_f]Beatrice[/name_f]. I think longer, classic, grounded names balance beautifully with [name_f]Lila[/name_f]. For suggestions, maybe something like [name_f]Primrose[/name_f] to get the ro sound without the rhyming problem?