Need help - Baby named after just one side of the family

We happen to be naming our baby after just my side of the family... first name was my great grandmas name and middle name is my sisters middle name. She will have my husband’s last name (ours).

Honestly we just really liked the names at first but now I love the sentiment behind them as well. I’m a little worried about how my MIL will take it though... she loves her family names.

Should I try to include his side of the family with a name from their side and maybe have two middle names? My thought is that if we have more kids we could end up with a family name from his side too.

Thoughts??