What kind of rights do I have as a father, in Michigan, when it comes to seeing my daughter?

Recently the mother of my child and I, who I was never married to, decided that it's best that we start doing visits separate, meaning I take her home without the mother around. Now that it has actually happened, it seems as though the mother has separation anxiety issues and is finding every excuse for me not to see her this weekend. I believe I have rights to my daughter every weekend. She believes it's only fair that I get her every other weekend, even though she gets her every day of the week. That math doesn't add up for me. She's telling me that I only get to see my daughter roughly 48 times a year? Anyways, I'm wondering if it's possible for me to win rights to my daughter for every weekend. We have avoided to courts up until now, but I think I might pursue a lawyer without the mother knowing. Any suggestions or input is greatly appreciated.