Hi Jennifer,

Thank you for contacting Mearto with your appraisal inquiry.
Yes, this could be by Robert Peckham; it also could be by Joseph Whiting Stock, who was also painting portraits around the same time. The work of both artists brings similar money at auction.
Based on the photos and information provided, and subject to examination, this is:

Manner of Joseph Whiting Stock (American, 1815-1855) or Robert Peckham (American, 1785-1877)
Portrait of Rosa Haywood (Young Girl With Flower in a Blue Dress)
oil on canvas
26 by 17 1/4 inches
CONDITION: appears to be relined and restretched.
PROVENANCE: acquired at an antiques store in Wisconsin
$1,500-2,500*
*represents a fair-market value for auction purposes; retail or asking price may vary.

Please let us know if you have additional items to appraise, and thank you again for using Mearto.