How to change text widget title h2 to h1

The before-title and after-title arguments passed to register_sidebar() need to use underscores:

register_sidebar(array(
    "name" => "Home Consulatation",
    "id" => "home_consult",
    "before_widget" => "",
    "after_widget" => "",
    "before_title" => "",
    "after_title" => ""
));

If you use that the titles won’t have any tags. You need to provide them to the before_title and after_title arguments, like so:

register_sidebar(array(
    "name" => "Home Consulatation",
    "id" => "home_consult",
    "before_widget" => "",
    "after_widget" => "",
    "before_title" => "<h1>",
    "after_title" => "</h1>"
));

Your problem was that you were using the incorrect keys (with - instead of _), so it was using the defaults.