It’s hard to narrow things down without knowing more about your tastes, but I will say my instinct is that longer (3+ syllables), more lyrical first names compliment the short, sharp sound of [name_m]Cook[/name_m].
[name_f][/name_f]If you’re into more tried and true classics, I’d suggest [name_f]Emily[/name_f] [name_m]Cook[/name_m], [name_f]Amelia[/name_f] [name_m]Cook[/name_m], [name_f]Caroline[/name_f] [name_m]Cook[/name_m], or [name_f]Elizabeth[/name_f] [name_m]Cook[/name_m].
[name_f][/name_f]For stylish, girly, elaborate choices, I like [name_f]Gabriela[/name_f] [name_m]Cook[/name_m], [name_f]Seraphina[/name_f] [name_m]Cook[/name_m], or [name_f]Isabel[/name_f] [name_m]Cook[/name_m].
[name_f][/name_f]If clunky cool is more your speed, I love [name_f]Philippa[/name_f] [name_m]Cook[/name_m], [name_f]Tallulah[/name_f] [name_m]Cook[/name_m], or [name_f]Wilhelmina[/name_f] [name_m]Cook[/name_m].
[name_f][/name_f]Shorter choices can also work. [name_f]Sylvie[/name_f] [name_m]Cook[/name_m] is pretty, so are [name_f]Freya[/name_f] [name_m]Cook[/name_m], [name_f]Audrey[/name_f] [name_m]Cook[/name_m], [name_f]Mila[/name_f] [name_m]Cook[/name_m]. Basically anything with the sort of lighter, softer sounds provides a nice contrast.