Looking for suggestions besides the expected [name_f]Francie[/name_f], [name_u]Frankie[/name_u], [name_f]Annie[/name_f], [name_f]Fanny[/name_f], [name_u]Fran[/name_u].
Thanks in advance!
[name_m]Chess[/name_m] (this works better for [name_f]Francesca[/name_f] but I suppose it could work for [name_f]Frances[/name_f])
[name_f]Cissy[/name_f]
[name_f]Fay[/name_f]
[name_f]Fifi[/name_f]
[name_f]Cece[/name_f]
[name_f]Freya[/name_f] (maybe?)
[name_f]Fia[/name_f]
[name_f]Sia[/name_f]
[name_f]Fan[/name_f]
[name_f]Nan[/name_f] or [name_f]Nancy[/name_f]?
[name_f]Franny[/name_f]
[name_m]Frank[/name_m]
Fefe/[name_f]Fifi[/name_f]
[name_f]France[/name_f]
[name_f]Cece[/name_f]
Cessy
[name_m]Chess[/name_m]
[name_f]Essie[/name_f]
[name_f]Essa[/name_f]
Cesca
Also, if you had a middle name picked out it could be a bit easier to find a nickname. 
[name_m]How[/name_m] about [name_f]Effie[/name_f]?
[name_m]How[/name_m] about [name_u]Baby[/name_u]? Like from Dirty Dancing? 
[name_f]Frances[/name_f] “Frenchie” would be really sweet.
[name_f]Frances[/name_f] is one of my favourite names (and my daughter’s middle!). I often call her [name_f]Franny[/name_f] which I think is superb! Otherwise I’d use [name_f]Nance[/name_f], [name_f]Cece[/name_f] Francy or Frenchie.
The main character in [name_m]Thomas[/name_m] [name_m]Hardy[/name_m]'s Under the Greenwood Tree is [name_f]Fancy[/name_f] [name_u]Day[/name_u]. I think [name_f]Fancy[/name_f]/[name_f]Fancie[/name_f] is lovely for [name_f]Frances[/name_f].
Like this suggestion.