As noted, you likely need to withdraw your app - it won't be approved even if modified. To be clear, the fact you have a child together, included her as common law on your app and submitted a statutory declaration does not make a difference - you'll need to demonstrate you resided together for 12 months continuous. It's still a good thing you included her as non-accompanying on your own app but it doesn't mean they 'approved' your common-law status.I was the only one working at the time and she was attending University so we didn't have shared bills or anything like that and we lived at my parents house so rental agreements. We have a child together so I submitted our childs birth certificate along with the Statutory declaration common law document that was used for my PR application. Will I need additional documents? For my PR app they accepted they didn't request any additional docs.
You really only have two options under spousal sponsorship: marry and apply (inland or outland). Or, if she can visit Canada, reside together for 12 months continuous before applying - but note that's dependent on her getting a visa/entering Canada, and would likely mean ~two years before becoming a PR with visitor status.
Hence practically your best option really is to marry.
Note: you haven't specified and I'm assuming that there is no significant legal impediment to marriage. It would also be important to know if she has a visa to Canada/from a visa waiver country or has been refused a visa. (Won't get into this right now - advise if so, then it gets complicated)
I'm leaving out the possibility of her qualifying to immigrate on her own.