Well, the good/great news is that both moms are in favor of you marrying your boyfriend! You're very lucky in that regard!
Having said that, it's your life, your wedding, your schedule.....unless you are also fortunate enough that your moms can do a lot of the planning for you, and pay for whatever you haven't saved for yet.
As a mom of a son and daughter, both of whom got married in the past 2 1/2 years, I can tell you that it's not a bad thing to have a year-long engagement period instead of 4 months. Planning to get married and planning a wedding are both pretty stressful and a longer engagement will allow you to both get used to things and - important - have fun as an engaged couple!
I think you should talk to your mom and let her know how you feel. She can maybe talk to the boyfriend's mom...or you can. Be sure to tell her how happy and pleased you are that she is eager to have the wedding soon!