Yes, it's a hosta. Probably one of the old ones. If you give it a nice spot to grow it will definitely improve in appearance.

Could possibly be hosta plantaginea. That one gets large fragrant white flowers (in August/September) if it gets enough sun. The leaves of plantaginea are shiny on top.

Can you peek over the fence to see their hosta on the other side?

im not buying plantaginea no matter how deep the shade ... its still tends toward apple green.. and the leaves dont stand upright like that ..

but.. as always.. i could be wrong ... a 6 inch pure white very fragrant flower in august would prove me wrong ....

how old is the fence.. im wondering if it was part of the one on teh other side.. and a poor job was done digging it out to install the fence?????

some hosta are stoloniferous .... move on underground runners.. but this isnt one of them ...

its a way old oldie ... but there are lots of plain old green ones ... it could even be a rogue seedling ... on this one.. not much definitive to go on.. to venture anything but a pure guess ...

ken

Looks like h. ventricosa. They spread easily by seed.

H. ventricosa looks like a good possibility. It has "green, shiny leaves."