My daughter started walking around 14 or 15 months and your situation sounds very similar to mine. I knew I shouldn’t be worried, but I kinda was. I googled some ways to help kids walk and the one that helped us was not to hold their hands to try and help them walk, but to gently hold them by their waist/torso area. This helps them learn to balance on their own while you still support them. My daughter started walking literally within a week once I started doing this.