If both your family and your SO's throw showers...do you invite the in laws to both shower so they have the chance to interact with each other? Or is that weird?

My MIL and DH's aunt have met my mom and aunt at our wedding shower and reception and get along great. Although they only live an hour apart, they don't see each other often. I wondered if it would be weird to invite MIL to a shower my mom throws (if her daughter is also throwing a shower) or if this might be normal? I would make it clear to her that gifts aren't required by both events (though I'm assuming that wouldn't stop her).