Sharing Web Maps

[MalleCarrasco-Harris1]

I created various maps in an ArcGIS Project. The maps have different symbology, labeling, shading, etc. 

I used Share > Web Map to share the first map onto our Enterprise Portal. I'd like to share the rest of the maps since they're created the way I'd like them to look online, but I do not need multiple Map Image Layers/Web Layers copied over. 

Is there a way to only upload the "Web Map" without the "Web Map Layers"  since they're already part of my content from my first upload? See below.