Domestic machines were first produced as Norwalk, Ohio, and in 1869 the name "Domestic" was established as a brand. In 1924 the Domestic Company was absorbed into the White Sewing Machine Co. So, you're definitely right about the date. Domestic as a brand name was still used well into the mid 1900s. They made many models similar to what Singer was putting out at the time.
Based on my records and what I found, you should be looking at an estimate in the range of about $75 to $125
and $100 to $150
with the cabinet and if it's in good condition. Personally, I would keep it in the cabinet. A lot of collectors are interested in the cabinets, so they like entire sets if they can get them.
I'm not sure where you're located, but I would check with your local antique shops and flea markets first. You can also check sewing/hobby/craft shops. This way you can decide if you want to sell locally or try listing it online. It's always great if you sell locally and not have to deal with shipping.
You might also look into your local craigslist or ebayclassfieds
. It's similar to Ebay, but you can list for free and it's not an auction and you can designate a "pick up" only option.
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Thanks and have a great weekend,