When she sees your willingness to accommodate her, this will prove your seriousness to her.
You should be understanding when plans change abruptly because the child is sick or visitation with the child's father falls through.
The unsteadiness of being involved in a relationship with a single mother can be trying and cause undue stress in a relationship that would otherwise thrive.
Preparing to date a girl with a child will help you understand where you fit in and make the situation more comfortable for everyone. Just because you are going on a date with a single mother doesn’t mean you have to meet her child right off the bat.
Don’t waste a single mother’s time by being deceptive or being a player.
Once you are sure of your seriousness, let her know through your actions and verbal communication.