Give it some time for your current friend. In my observations people with babies or very young kids are naturally mostly-consumed by their new parenthood life. It's natural and it's also important to the children for this to be the case.

However as children grow older and slightly more independent, they start to lose interest in their parents. They still need the security, protection, love, etc - but they also start needing to carve out their own identity, have friends, have hobbies on their own, etc. All very natural and healthy.

This leaves a lot of parents with young to mid teens suddenly with a bit of a gaping hole in their life. This is the time for such parents to start branching back out more so into their own things a lot more. Most parents with teenagers would probably absolutely love to go out for a night on the town with friends, while their teenager(s) hang out with friends.

So in the meantime, if you are having trouble finding adults in their 30s who have no kids, don't rule out people with teenagers. They might be into the upper 30s or early 40s in some cases, but hell makes no difference in terms of quality of friendship. But they will be way more likely to be like omg hell yes I will go to dinner and to the museum with you.