Urinary Tract Infection (UTI): The presence of fever, vomiting, and urine abnormalities (1+ blood, 2+ ketones, and 1+ protein) in an 11-month-old female is highly suggestive of a UTI. The symptoms and signs, including the laboratory findings, are consistent with a lower urinary tract infection, which is common in this age group.

Dehydration: Vomiting can lead to dehydration, which may cause a concentration of the urine, potentially leading to the presence of ketones and protein. The fever could be due to a viral gastroenteritis or another viral infection.
Gastroenteritis with Secondary UTI: It's possible that the primary issue is gastroenteritis (leading to vomiting and fever), with a secondary UTI or contamination of the urine sample.
Diabetic Ketoacidosis (DKA): Although less common in this age group without a known history of diabetes, DKA can present with vomiting, fever, ketones in the urine, and potentially proteinuria due to the severe metabolic derangement.

Pyelonephritis: An upper urinary tract infection that can present similarly to a lower UTI but may have more severe consequences if not promptly treated, including potential for sepsis and renal scarring.
Sepsis: Any infection that leads to systemic inflammatory response syndrome (SIRS) criteria being met, which can be life-threatening if not recognized and treated promptly.
Meningitis: Although the symptoms do not directly point towards meningitis, in infants and young children, the presentation of serious infections can be non-specific, and meningitis is a condition that would be catastrophic if missed.

Tubulointerstitial Nephritis: An inflammation of the tubules and interstitial tissue of the kidneys, which could present with fever, proteinuria, and hematuria, but is less common in this age group.
Nephrotic Syndrome: Characterized by significant proteinuria, hypoalbuminemia, and edema. While it's a possibility, the acute presentation with fever and vomiting is less typical for nephrotic syndrome.
Congenital Abnormalities of the Urinary Tract: Certain congenital abnormalities could predispose to UTIs or present with similar symptoms, but these would typically be identified earlier in life or have other associated findings.