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The following biography is from the archives of askArt.
A native of New York, he became one of America's foremost anecdotal genre painters in the late 19th and early 20th centuries. A favorite subject was distinguished elderly men going about everyday activities in gentile interior settings that reflected Victorian tastes.
He was the son of a decorative painter and was initially taught by his father and then attended classes at the National Academy of Design. For six years, he studied in Munich with Frank Duveneck, Ludwig Lofftz, and Feodor Dietz and during this period was part of a group of American artists emulating 17th century Dutch masters.
Returning to New York, he opened a studio and did decorative painting while developing the genre style for which he is known. He earned the National Academy's Hallgarten Prize for a small painting entitled "Puzzled" and was made an Associate Member.
"The genre paintings for which Moeller became known are small in format. Small animated figures vie for the viewer's attention with objects treated almost as independent still-life elements. The objects are often "objects de vertu- collectors' prizes." (Baigell)
Source:
Matthew Baigell, "Dictionary of American Art"
The following biography is from Wikipedia.
He was the son of a decorative painter, with whom he served a three years' apprenticeship. He then studied painting in New York with E. M. Ward and Will Low, and in Munich with Feodor Dietz and Frank Duveneck. His meager resources obligated him to return from Munich back home to New York in 1883, where he again devoted himself to decorative painting.
The year of his return, he sent “A Girl in a Snow-Storm” to the National Academy of Design. His second work, “Puzzled,” gained him the Hallgarten Prize, and election as an associate to the National Academy in 1884. He was made a National Academician in 1895