According to the City of West Hollywood,
Occupants Allowed in Addition to the Lease/Rental Agreement
Tenants may be vulnerable to eviction if they have more people living with them than their lease specifies. However, the Ordinance provides that one person in addition to those permitted in the lease may live with a tenant if it is their spouse, domestic partner, child, grandchild, parent, grandparent, brother or sister. The tenant must notify the landlord in writing about the additional person and state the nature of the relationship.
These relatives do not have a claim to continue as tenants when the last tenant on the original lease moves out unless the relative has lived with the tenant for more than a year and the tenant has died or become incapacitated. Otherwise, the relatives need to move-out at the time the tenant vacates or the landlord may treat the unit as vacant and demand a credit check, new lease, increased rent and new security deposit from the relatives.
This language strongly implies that regardless of what the lease says, you are entitled to have your wife move in without penalty or additional rent
However, to protect yourself, you should contact West Hollywood Rent Stabilization at (323) 848-6450.