Can you post a whole home floor plan? Also, what's her budget, scope of work etc. IMO the biggest concern should be moving that cooktop to a safe location and getting some ventilation.

If you really want help the first step is a detailed to scale floor plan, an idea of budgt and style she likes and the undestanding that there will be the need to add flooring and have all the floors redone to match.BTW she does not at this moment have room for an island and U shaped kitchens are very easy to work in

Patricia Colwell - I am seeing nice wood floors throughout. Why are you saying there will need to have all floors redone to match? If you are talking about that little hallway in the background - and assuming that wall in front of that hallway could come down and is not load-bearing, and that is not the front door hallway so the kitchen shouldn't encroach it - I don't see that as a big deal to match flooring for that bit of strip. Other than that, I don't see what you mean.

Darlene Thatcher - yes, first you need to post a floor plan for us to help you. Second, you need to tell us a ballpark budget for the kitchen reno.

Keep in mind that some exhaust to the outside will need to be installed, but it is not as hard as it sounds if the cooktop is going on--or near--an outside wall. Also, just from eyeballing the pics, it doesn't look like an island will fit in the space, but pics can be deceiving and, as said, we need floor plan and measurements. There are some great kitchen layout gurus on here!

When you change the layout in a kitchen the floors will need to be installed where they will be missing or if they are all under the old cabinets the color will not match .As for the cooktop I certainly will nee the floor pan showing exterior walls since right now there is no spot for the cooktop on an exterior wall

Ah, OK, Patricia, with that explanation I see what you mean.

For the exhaust, it is a small space. I do not see it as a problem if a cooktop exhaust duct has to make one 90-degree turn toward the outside, and go for, say, 4-6' to the outside. A range instead of cooktop/wall ovens would make this easier while at the same time giving the OP's daughter more usable counter space in a small kitchen.

Thinking of opening up the kitchen moving the cooktop as well. The kitchen is 10x16
Don’t have a floor plan my daughter is working on that she is an Architect.
Budget about 25k
I’ve attached just some photos of the house so you can see the style. Front of house, LR & DR

I would think about closing off one or both of the doors to get a better layout and more cabinets. Having 3 entrances into the kitchen doesn't seem necessary to me And a waste of space. You could still have a U shaped kitchen but loose the cook stove peninsula and opening that whole side to the dining room

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I was writing as you posted the extra photos. Very nice home. Since there is a separate dining room eliminating the eat in area would get her a huge kitchen. And fit with the style of the home. My current home has a breakfast area and a dining room with the kitchen between them. we only use the breakfast area. I wish they had been combined to make 1 larger space.

A 10x16 kitchen isn't big enough for an island without removing the pantry wall, but it looks to be a hallway? The kitchen space looks like it has a slight bump out from the breakfast room, but that could be the skewed nature of the listing photos. Really hard to make recommendations without a floor plan.

It's a lovely home your daughter has purchased, especially the floors.

a few suggestions:

make all but 3 small base cabinets only drawers

move cooktop to the other end to be able to vent out and provide peninsula seating

make refrigerator 36" ( make sure door clears)

install larger sink with Dw on left and flank cabinets

with trash pull puts on sink side wall, oven can be located on the kitchen side of the peninsula

or under cooktop

I don't have actual dimensions so this is strictly eyeball

walkway should be 42" at least ( from shallow pantry to peninsula counter)

best of luck