Congratulations on being a new mom! It's completely normal to worry about your baby's development, especially as a first-time parent. From what you've described, it sounds like your little one is right on track with her milestones for her age.
Lifting her head during tummy time shows good neck and upper body strength, which is a great sign of development. Smiling back at you and recognizing your faces is a wonderful indication of social and emotional growth. The fact that she is cooing and making baby sounds means that her language and communication skills are developing well. Additionally, following objects with her eyes displays good visual tracking ability.
At 2 months old, these are all positive signs that your baby is developing healthily. Some other milestones you can look out for at this age include grasping objects (even if it's just briefly), bringing her hands to her mouth, and starting to show more interest in her surroundings.
Remember that every baby develops at their own pace, so try not to compare too much with what you read online or hear from other parents. If you have any specific concerns, don't hesitate to talk to your pediatrician. You're doing a great job, and it's completely normal to have worries as a new parent. Enjoy this special time with your little one!
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