Using family name for one baby and not another?

Ashley • 30. Married for 8 years to my soulmate. Momma to Jack, born on 11.30.16 and Connor born on 3.16.19

We found out yesterday through the genetic testing blood work that baby #2 is a boy and I am low risk for everything. Feeling very grateful! Our first little boy’s name is Jack Davis (Davis is a family name on my husband’s side). We like the name Dylan for this little boy but are stumped on a middle name. Ideally I’d love to use a family name from my side, but nothing sounds good with Dylan. All of the male names in my family just don’t go with it.

Is it weird to give one baby a family name & not another? I feel like (know) my mom will have something negative to say if we don’t incorporate my family somehow into his name. 😩